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Finding the Fourth Proportional to 2,507.52, 3,457.17 and 1,720.20

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Solution

The fourth proportional to 2,507.52, 3,457.17 and 1,720.20 is: 2,371.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.52 : 3,457.17 = 1,720.20 : x
  2. Step 2: Convert to fraction form
    2,507.52/3,457.17 = 1,720.20/x
  3. Step 3: Cross multiply
    2,507.52x = 3,457.17 × 1,720.20
  4. Step 4: Simplify right side
    2,507.52x = 5,947,023.83
  5. Step 5: Solve for x
    x = 5,947,023.83/2,507.52
  6. Step 6: Final answer
    x = 2,371.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.