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Finding the Fourth Proportional to 2,540.42, 3,810.59 and 691.71

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Solution

The fourth proportional to 2,540.42, 3,810.59 and 691.71 is: 1,037.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.42 : 3,810.59 = 691.71 : x
  2. Step 2: Convert to fraction form
    2,540.42/3,810.59 = 691.71/x
  3. Step 3: Cross multiply
    2,540.42x = 3,810.59 × 691.71
  4. Step 4: Simplify right side
    2,540.42x = 2,635,823.21
  5. Step 5: Solve for x
    x = 2,635,823.21/2,540.42
  6. Step 6: Final answer
    x = 1,037.55

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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.