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Finding the Fourth Proportional to 2,493.97, 3,732.28 and 2,049.89

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Solution

The fourth proportional to 2,493.97, 3,732.28 and 2,049.89 is: 3,067.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.97 : 3,732.28 = 2,049.89 : x
  2. Step 2: Convert to fraction form
    2,493.97/3,732.28 = 2,049.89/x
  3. Step 3: Cross multiply
    2,493.97x = 3,732.28 × 2,049.89
  4. Step 4: Simplify right side
    2,493.97x = 7,650,739.66
  5. Step 5: Solve for x
    x = 7,650,739.66/2,493.97
  6. Step 6: Final answer
    x = 3,067.70

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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.