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Finding the Fourth Proportional to 3,008.82, 4,512.61 and 871.03

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Solution

The fourth proportional to 3,008.82, 4,512.61 and 871.03 is: 1,306.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,008.82 : 4,512.61 = 871.03 : x
  2. Step 2: Convert to fraction form
    3,008.82/4,512.61 = 871.03/x
  3. Step 3: Cross multiply
    3,008.82x = 4,512.61 × 871.03
  4. Step 4: Simplify right side
    3,008.82x = 3,930,618.69
  5. Step 5: Solve for x
    x = 3,930,618.69/3,008.82
  6. Step 6: Final answer
    x = 1,306.37

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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.