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Finding the Fourth Proportional to 2,514.74, 3,772.38 and 871.10

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Solution

The fourth proportional to 2,514.74, 3,772.38 and 871.10 is: 1,306.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.74 : 3,772.38 = 871.10 : x
  2. Step 2: Convert to fraction form
    2,514.74/3,772.38 = 871.10/x
  3. Step 3: Cross multiply
    2,514.74x = 3,772.38 × 871.10
  4. Step 4: Simplify right side
    2,514.74x = 3,286,120.22
  5. Step 5: Solve for x
    x = 3,286,120.22/2,514.74
  6. Step 6: Final answer
    x = 1,306.74

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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.