A long, straight, rigid wire carries a steady current \(I\). A nearby coplanar rectangular wire loop of length \(L\) carries a constant current \(I_0\).

In Scenario 1, the side of the loop closest to the long wire is at a distance \(2d\) and the side furthest from the wire is at a distance \(4d\). The magnitude of the net magnetic force on the loop is \(F_1\).

In Scenario 2, the current in the long wire is changed to \(3I\), and the loop is moved so that its closest side is at a distance \(d\) and its furthest side is at a distance \(3d\). The magnitude of the net magnetic force on the loop is \(F_2\).

What is the ratio \(\dfrac{F_2}{F_1}\)?