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Finding the Fourth Proportional to 2,495.27, 3,743.49 and 763.89

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Solution

The fourth proportional to 2,495.27, 3,743.49 and 763.89 is: 1,146.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.27 : 3,743.49 = 763.89 : x
  2. Step 2: Convert to fraction form
    2,495.27/3,743.49 = 763.89/x
  3. Step 3: Cross multiply
    2,495.27x = 3,743.49 × 763.89
  4. Step 4: Simplify right side
    2,495.27x = 2,859,614.58
  5. Step 5: Solve for x
    x = 2,859,614.58/2,495.27
  6. Step 6: Final answer
    x = 1,146.02

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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.