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Finding the Fourth Proportional to 2,525.24, 3,767.24 and 2,457.20

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Solution

The fourth proportional to 2,525.24, 3,767.24 and 2,457.20 is: 3,665.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.24 : 3,767.24 = 2,457.20 : x
  2. Step 2: Convert to fraction form
    2,525.24/3,767.24 = 2,457.20/x
  3. Step 3: Cross multiply
    2,525.24x = 3,767.24 × 2,457.20
  4. Step 4: Simplify right side
    2,525.24x = 9,256,862.13
  5. Step 5: Solve for x
    x = 9,256,862.13/2,525.24
  6. Step 6: Final answer
    x = 3,665.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.