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Finding the Fourth Proportional to 2,739.21, 3,781.85 and 1,691.88

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Solution

The fourth proportional to 2,739.21, 3,781.85 and 1,691.88 is: 2,335.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.21 : 3,781.85 = 1,691.88 : x
  2. Step 2: Convert to fraction form
    2,739.21/3,781.85 = 1,691.88/x
  3. Step 3: Cross multiply
    2,739.21x = 3,781.85 × 1,691.88
  4. Step 4: Simplify right side
    2,739.21x = 6,398,436.38
  5. Step 5: Solve for x
    x = 6,398,436.38/2,739.21
  6. Step 6: Final answer
    x = 2,335.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.