It's generally not advisable to mix different fiber grades. While OM3 and OM4 mix pretty well, a mix of OM2 and OM3/OM4 can severly limit the reach of the fiber. If you're close to the maximum reach it might just cause too much attenuation. Better get the correct OM4 patch.
However, you might also want to check if the crossovers are all correct - each patch cable and each deployed fiber is supposed to have a crossover. You always need an odd number of crossovers for a run to work. Short-wave optics are usually visible to the eye (or an electronic camera), so its easy to locate the transmitter side.
OMx stands for multi-mode fiber (MMF). FDDI and OM1 used large diameter fiber (62.5 µm core) and are obsolete. OM2 is "LED optimized" (legacy) and doesn't mix too well with OM3 or OM4 ("laser optimized"). OM5 is pretty new and optimized for short-wave WDM (40+ Gbit/s).
Single-mode fiber (SMF) grades are OS1 (legacy) and OS2 (current). These mix well but OS1 has much higher attenuation, leading to shorter reach.
Generally, you can't mix SMF with MMF without high power loss penalties = severly reduced reach.