Final answer:
The equation 3 capsules : 1500mg = 4 capsules : x, the solution to the equation is x = 2000mg.
Step-by-step explanation:
To solve the equation 3 capsules : 1500mg = 4 capsules : x, we can use a ratio and proportion. Since 4 capsules corresponds to x, we can set up the proportion as follows:
3 capsules / 1500mg = 4 capsules / x
We can cross-multiply and solve for x:
3x = (1500mg)(4)
3x = 6000mg
x = 6000mg / 3
x = 2000mg
Therefore, the solution to the equation is x = 2000mg.