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Finding the Fourth Proportional to 1,614.52, 2,421.46 and 587.96

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Solution

The fourth proportional to 1,614.52, 2,421.46 and 587.96 is: 881.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.52 : 2,421.46 = 587.96 : x
  2. Step 2: Convert to fraction form
    1,614.52/2,421.46 = 587.96/x
  3. Step 3: Cross multiply
    1,614.52x = 2,421.46 × 587.96
  4. Step 4: Simplify right side
    1,614.52x = 1,423,721.62
  5. Step 5: Solve for x
    x = 1,423,721.62/1,614.52
  6. Step 6: Final answer
    x = 881.82

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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.