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Finding the Fourth Proportional to 2,379.31, 3,569 and 1,063.13

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Solution

The fourth proportional to 2,379.31, 3,569 and 1,063.13 is: 1,594.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.31 : 3,569 = 1,063.13 : x
  2. Step 2: Convert to fraction form
    2,379.31/3,569 = 1,063.13/x
  3. Step 3: Cross multiply
    2,379.31x = 3,569 × 1,063.13
  4. Step 4: Simplify right side
    2,379.31x = 3,794,310.97
  5. Step 5: Solve for x
    x = 3,794,310.97/2,379.31
  6. Step 6: Final answer
    x = 1,594.71

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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.