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Finding the Fourth Proportional to 2,404.31, 3,606.17 and 760.82

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Solution

The fourth proportional to 2,404.31, 3,606.17 and 760.82 is: 1,141.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.31 : 3,606.17 = 760.82 : x
  2. Step 2: Convert to fraction form
    2,404.31/3,606.17 = 760.82/x
  3. Step 3: Cross multiply
    2,404.31x = 3,606.17 × 760.82
  4. Step 4: Simplify right side
    2,404.31x = 2,743,624.42
  5. Step 5: Solve for x
    x = 2,743,624.42/2,404.31
  6. Step 6: Final answer
    x = 1,141.13

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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.