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Finding the Fourth Proportional to 3,141.38, 4,712.07 and 1,193.12

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Solution

The fourth proportional to 3,141.38, 4,712.07 and 1,193.12 is: 1,789.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.38 : 4,712.07 = 1,193.12 : x
  2. Step 2: Convert to fraction form
    3,141.38/4,712.07 = 1,193.12/x
  3. Step 3: Cross multiply
    3,141.38x = 4,712.07 × 1,193.12
  4. Step 4: Simplify right side
    3,141.38x = 5,622,064.96
  5. Step 5: Solve for x
    x = 5,622,064.96/3,141.38
  6. Step 6: Final answer
    x = 1,789.68

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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.