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Finding the Fourth Proportional to 2,639.27, 3,959.13 and 691.47

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Solution

The fourth proportional to 2,639.27, 3,959.13 and 691.47 is: 1,037.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.27 : 3,959.13 = 691.47 : x
  2. Step 2: Convert to fraction form
    2,639.27/3,959.13 = 691.47/x
  3. Step 3: Cross multiply
    2,639.27x = 3,959.13 × 691.47
  4. Step 4: Simplify right side
    2,639.27x = 2,737,619.62
  5. Step 5: Solve for x
    x = 2,737,619.62/2,639.27
  6. Step 6: Final answer
    x = 1,037.26

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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.