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Finding the Fourth Proportional to 2,540.52, 3,810.78 and 691.83

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Solution

The fourth proportional to 2,540.52, 3,810.78 and 691.83 is: 1,037.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.52 : 3,810.78 = 691.83 : x
  2. Step 2: Convert to fraction form
    2,540.52/3,810.78 = 691.83/x
  3. Step 3: Cross multiply
    2,540.52x = 3,810.78 × 691.83
  4. Step 4: Simplify right side
    2,540.52x = 2,636,411.93
  5. Step 5: Solve for x
    x = 2,636,411.93/2,540.52
  6. Step 6: Final answer
    x = 1,037.75

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