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Finding the Fourth Proportional to 2,474.31, 3,711.42 and 830.82

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Solution

The fourth proportional to 2,474.31, 3,711.42 and 830.82 is: 1,246.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.31 : 3,711.42 = 830.82 : x
  2. Step 2: Convert to fraction form
    2,474.31/3,711.42 = 830.82/x
  3. Step 3: Cross multiply
    2,474.31x = 3,711.42 × 830.82
  4. Step 4: Simplify right side
    2,474.31x = 3,083,535.88
  5. Step 5: Solve for x
    x = 3,083,535.88/2,474.31
  6. Step 6: Final answer
    x = 1,246.22

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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.