Logic board compatibility, 2.4GHz board on 2.26GHz model.

Hi, I have a 2009 A1342 (2.26GHz) with a faulty logic board. There are only two for sale in my entire country, both 2.4GHz models.

I know this sounds ridiculously stupid but are the 2.4GHz logic boards compatible with 2.26 2009 models? I’m just afraid Apple, being Apple, changed something minor on the newer 2.4GHz boards that makes it incompatible with the older 2.26 models.

It should be compatible since literally the only thing that should be changed is the clock speed, but I’m just making sure.