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Finding the Fourth Proportional to 2,489.91, 3,732.71 and 1,461.75

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Solution

The fourth proportional to 2,489.91, 3,732.71 and 1,461.75 is: 2,191.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.91 : 3,732.71 = 1,461.75 : x
  2. Step 2: Convert to fraction form
    2,489.91/3,732.71 = 1,461.75/x
  3. Step 3: Cross multiply
    2,489.91x = 3,732.71 × 1,461.75
  4. Step 4: Simplify right side
    2,489.91x = 5,456,281.53
  5. Step 5: Solve for x
    x = 5,456,281.53/2,489.91
  6. Step 6: Final answer
    x = 2,191.36

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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.