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Finding the Fourth Proportional to 2,497.65, 3,747.23 and 742.71

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Solution

The fourth proportional to 2,497.65, 3,747.23 and 742.71 is: 1,114.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.65 : 3,747.23 = 742.71 : x
  2. Step 2: Convert to fraction form
    2,497.65/3,747.23 = 742.71/x
  3. Step 3: Cross multiply
    2,497.65x = 3,747.23 × 742.71
  4. Step 4: Simplify right side
    2,497.65x = 2,783,101.48
  5. Step 5: Solve for x
    x = 2,783,101.48/2,497.65
  6. Step 6: Final answer
    x = 1,114.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.