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Finding the Fourth Proportional to 2,504.52, 3,761.64 and 1,532.52

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Solution

The fourth proportional to 2,504.52, 3,761.64 and 1,532.52 is: 2,301.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.52 : 3,761.64 = 1,532.52 : x
  2. Step 2: Convert to fraction form
    2,504.52/3,761.64 = 1,532.52/x
  3. Step 3: Cross multiply
    2,504.52x = 3,761.64 × 1,532.52
  4. Step 4: Simplify right side
    2,504.52x = 5,764,788.53
  5. Step 5: Solve for x
    x = 5,764,788.53/2,504.52
  6. Step 6: Final answer
    x = 2,301.75

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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.