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Finding the Fourth Proportional to 2,462.19, 3,691.76 and 818.31

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Solution

The fourth proportional to 2,462.19, 3,691.76 and 818.31 is: 1,226.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.19 : 3,691.76 = 818.31 : x
  2. Step 2: Convert to fraction form
    2,462.19/3,691.76 = 818.31/x
  3. Step 3: Cross multiply
    2,462.19x = 3,691.76 × 818.31
  4. Step 4: Simplify right side
    2,462.19x = 3,021,000.03
  5. Step 5: Solve for x
    x = 3,021,000.03/2,462.19
  6. Step 6: Final answer
    x = 1,226.96

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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.