You could use an enlarger with lenses mounted on a board. The focal length of a "thin" lens would be fl=(2 + 1/M +M) * dist where "M" is the magnification and "dist" is the carrier to easel distance. Do not change "dist", but adjust spacing and refocus until the magnifications match. With "dist" = approx 900mm (any 4x5 enlarger), M would be around 17.9 for a 45 mm lens. It isn't the perfect approach, but it will permit matching to the tolerances you require.