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Finding the Fourth Proportional to 2,540.39, 3,810.14 and 691.66

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Solution

The fourth proportional to 2,540.39, 3,810.14 and 691.66 is: 1,037.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.39 : 3,810.14 = 691.66 : x
  2. Step 2: Convert to fraction form
    2,540.39/3,810.14 = 691.66/x
  3. Step 3: Cross multiply
    2,540.39x = 3,810.14 × 691.66
  4. Step 4: Simplify right side
    2,540.39x = 2,635,298.92
  5. Step 5: Solve for x
    x = 2,635,298.92/2,540.39
  6. Step 6: Final answer
    x = 1,037.36

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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.