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Finding the Fourth Proportional to 2,498.65, 3,748.73 and 743.71

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Solution

The fourth proportional to 2,498.65, 3,748.73 and 743.71 is: 1,115.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.65 : 3,748.73 = 743.71 : x
  2. Step 2: Convert to fraction form
    2,498.65/3,748.73 = 743.71/x
  3. Step 3: Cross multiply
    2,498.65x = 3,748.73 × 743.71
  4. Step 4: Simplify right side
    2,498.65x = 2,787,967.99
  5. Step 5: Solve for x
    x = 2,787,967.99/2,498.65
  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.