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Finding the Fourth Proportional to 2,456.53, 3,681.96 and 1,532.32

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Solution

The fourth proportional to 2,456.53, 3,681.96 and 1,532.32 is: 2,296.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.53 : 3,681.96 = 1,532.32 : x
  2. Step 2: Convert to fraction form
    2,456.53/3,681.96 = 1,532.32/x
  3. Step 3: Cross multiply
    2,456.53x = 3,681.96 × 1,532.32
  4. Step 4: Simplify right side
    2,456.53x = 5,641,926.00
  5. Step 5: Solve for x
    x = 5,641,926.00/2,456.53
  6. Step 6: Final answer
    x = 2,296.71

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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.