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Finding the Fourth Proportional to 3,180.38, 4,770.86 and 871.88

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Solution

The fourth proportional to 3,180.38, 4,770.86 and 871.88 is: 1,307.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.38 : 4,770.86 = 871.88 : x
  2. Step 2: Convert to fraction form
    3,180.38/4,770.86 = 871.88/x
  3. Step 3: Cross multiply
    3,180.38x = 4,770.86 × 871.88
  4. Step 4: Simplify right side
    3,180.38x = 4,159,589.20
  5. Step 5: Solve for x
    x = 4,159,589.20/3,180.38
  6. Step 6: Final answer
    x = 1,307.89

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Why These Related Problems?

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