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Finding the Fourth Proportional to 2,425.32, 3,638.27 and 781.29

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Solution

The fourth proportional to 2,425.32, 3,638.27 and 781.29 is: 1,172.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.32 : 3,638.27 = 781.29 : x
  2. Step 2: Convert to fraction form
    2,425.32/3,638.27 = 781.29/x
  3. Step 3: Cross multiply
    2,425.32x = 3,638.27 × 781.29
  4. Step 4: Simplify right side
    2,425.32x = 2,842,545.92
  5. Step 5: Solve for x
    x = 2,842,545.92/2,425.32
  6. Step 6: Final answer
    x = 1,172.03

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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.