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Finding the Fourth Proportional to 2,461.31, 3,691.17 and 817.42

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Solution

The fourth proportional to 2,461.31, 3,691.17 and 817.42 is: 1,225.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.31 : 3,691.17 = 817.42 : x
  2. Step 2: Convert to fraction form
    2,461.31/3,691.17 = 817.42/x
  3. Step 3: Cross multiply
    2,461.31x = 3,691.17 × 817.42
  4. Step 4: Simplify right side
    2,461.31x = 3,017,223.49
  5. Step 5: Solve for x
    x = 3,017,223.49/2,461.31
  6. Step 6: Final answer
    x = 1,225.86

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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.