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Finding the Fourth Proportional to 2,498.92, 3,747.67 and 743.86

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Solution

The fourth proportional to 2,498.92, 3,747.67 and 743.86 is: 1,115.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.92 : 3,747.67 = 743.86 : x
  2. Step 2: Convert to fraction form
    2,498.92/3,747.67 = 743.86/x
  3. Step 3: Cross multiply
    2,498.92x = 3,747.67 × 743.86
  4. Step 4: Simplify right side
    2,498.92x = 2,787,741.81
  5. Step 5: Solve for x
    x = 2,787,741.81/2,498.92
  6. Step 6: Final answer
    x = 1,115.58

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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.