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Finding the Fourth Proportional to 3,181.78, 4,770.82 and 1,231.71

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Solution

The fourth proportional to 3,181.78, 4,770.82 and 1,231.71 is: 1,846.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.78 : 4,770.82 = 1,231.71 : x
  2. Step 2: Convert to fraction form
    3,181.78/4,770.82 = 1,231.71/x
  3. Step 3: Cross multiply
    3,181.78x = 4,770.82 × 1,231.71
  4. Step 4: Simplify right side
    3,181.78x = 5,876,266.70
  5. Step 5: Solve for x
    x = 5,876,266.70/3,181.78
  6. Step 6: Final answer
    x = 1,846.85

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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.