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Finding the Fourth Proportional to 3,180.20, 4,770.29 and 871.70

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Solution

The fourth proportional to 3,180.20, 4,770.29 and 871.70 is: 1,307.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.20 : 4,770.29 = 871.70 : x
  2. Step 2: Convert to fraction form
    3,180.20/4,770.29 = 871.70/x
  3. Step 3: Cross multiply
    3,180.20x = 4,770.29 × 871.70
  4. Step 4: Simplify right side
    3,180.20x = 4,158,233.58
  5. Step 5: Solve for x
    x = 4,158,233.58/3,180.20
  6. Step 6: Final answer
    x = 1,307.54

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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.