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Finding the Fourth Proportional to 3,141.62, 4,711.14 and 1,167.38

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Solution

The fourth proportional to 3,141.62, 4,711.14 and 1,167.38 is: 1,750.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.62 : 4,711.14 = 1,167.38 : x
  2. Step 2: Convert to fraction form
    3,141.62/4,711.14 = 1,167.38/x
  3. Step 3: Cross multiply
    3,141.62x = 4,711.14 × 1,167.38
  4. Step 4: Simplify right side
    3,141.62x = 5,499,690.61
  5. Step 5: Solve for x
    x = 5,499,690.61/3,141.62
  6. Step 6: Final answer
    x = 1,750.59

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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.