Cropping/resizing image by pixel dimensions

I am trying to crop or resize an image that is originally 2,122 x 1,415 px | 7.1 x 4.7 in | 300 dpi. I am to crop/resize image to fit 756 x 275 px. However, I don't want to lose the whole image. I would like to use the whole image just adjust it to the dimensions.
How can I accomplish this without creating any distortion or by removing elements by cropping the image?

Hello Slange,
may I propose a solution based on a more mathematical derivation, where I assume the height of 275 px is decisive. The way is the same, if the 765 px width is important.
The reduced copy of 2122 x 1415 provides 412 x 275. To the wished 756 you need: 756 - 412 = 344. Splitting it into two parts I'll get 344 : 2 = 172. These I mount now (The black borders are only for better overview.) to an image with the wished measures 756 x 275:
The white area you can fill it with any suitable color.
Hans-Günter

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