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Finding the Fourth Proportional to 3,181.17, 4,770.13 and 1,331.78

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Solution

The fourth proportional to 3,181.17, 4,770.13 and 1,331.78 is: 1,996.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.17 : 4,770.13 = 1,331.78 : x
  2. Step 2: Convert to fraction form
    3,181.17/4,770.13 = 1,331.78/x
  3. Step 3: Cross multiply
    3,181.17x = 4,770.13 × 1,331.78
  4. Step 4: Simplify right side
    3,181.17x = 6,352,763.73
  5. Step 5: Solve for x
    x = 6,352,763.73/3,181.17
  6. Step 6: Final answer
    x = 1,996.99

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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.