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Finding the Fourth Proportional to 2,691.74, 4,037.15 and 743.95

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Solution

The fourth proportional to 2,691.74, 4,037.15 and 743.95 is: 1,115.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.74 : 4,037.15 = 743.95 : x
  2. Step 2: Convert to fraction form
    2,691.74/4,037.15 = 743.95/x
  3. Step 3: Cross multiply
    2,691.74x = 4,037.15 × 743.95
  4. Step 4: Simplify right side
    2,691.74x = 3,003,417.56
  5. Step 5: Solve for x
    x = 3,003,417.56/2,691.74
  6. Step 6: Final answer
    x = 1,115.79

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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.