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Finding the Fourth Proportional to 2,514.72, 3,772.34 and 871.26

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Solution

The fourth proportional to 2,514.72, 3,772.34 and 871.26 is: 1,306.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.72 : 3,772.34 = 871.26 : x
  2. Step 2: Convert to fraction form
    2,514.72/3,772.34 = 871.26/x
  3. Step 3: Cross multiply
    2,514.72x = 3,772.34 × 871.26
  4. Step 4: Simplify right side
    2,514.72x = 3,286,684.59
  5. Step 5: Solve for x
    x = 3,286,684.59/2,514.72
  6. Step 6: Final answer
    x = 1,306.98

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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.