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Finding the Fourth Proportional to 2,471.29, 3,708.15 and 1,745.53

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Solution

The fourth proportional to 2,471.29, 3,708.15 and 1,745.53 is: 2,619.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.29 : 3,708.15 = 1,745.53 : x
  2. Step 2: Convert to fraction form
    2,471.29/3,708.15 = 1,745.53/x
  3. Step 3: Cross multiply
    2,471.29x = 3,708.15 × 1,745.53
  4. Step 4: Simplify right side
    2,471.29x = 6,472,687.07
  5. Step 5: Solve for x
    x = 6,472,687.07/2,471.29
  6. Step 6: Final answer
    x = 2,619.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.