Pascal's principle?

Question

A dentist's chair with a patient in it weighs 2520 N. The output plunger of a hydraulic system begins to lift the chair when the dentist's foot applies a force of 48 N to the input piston. Neglect any height difference between the plunger and the piston. What is the ratio of the radius of the plunger to the radius of the piston?
rplunger / rpiston =

I know that p2=p1+pgh and p2=p1
need help in solving it i manipulated the formulas and most of the variables cancel out but the result is wrong

Answer 1

F1>F2

A=pi R^2

F1=P A1
F2=P A2

F1/F2= A1/A2
F1/F2= pi (R1)^2/pi (R2)^2
F1/F2=(R1/R2)^2

R1/R2= sqrt(F1/F2)
R1/R2= sqrt(2520 /48)=7.25