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Finding the Fourth Proportional to 2,497.71, 3,739.32 and 1,454.52

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Solution

The fourth proportional to 2,497.71, 3,739.32 and 1,454.52 is: 2,177.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.71 : 3,739.32 = 1,454.52 : x
  2. Step 2: Convert to fraction form
    2,497.71/3,739.32 = 1,454.52/x
  3. Step 3: Cross multiply
    2,497.71x = 3,739.32 × 1,454.52
  4. Step 4: Simplify right side
    2,497.71x = 5,438,915.73
  5. Step 5: Solve for x
    x = 5,438,915.73/2,497.71
  6. Step 6: Final answer
    x = 2,177.56

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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.