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Finding the Fourth Proportional to 3,371.67, 5,057.52 and 1,180.44

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Solution

The fourth proportional to 3,371.67, 5,057.52 and 1,180.44 is: 1,770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,371.67 : 5,057.52 = 1,180.44 : x
  2. Step 2: Convert to fraction form
    3,371.67/5,057.52 = 1,180.44/x
  3. Step 3: Cross multiply
    3,371.67x = 5,057.52 × 1,180.44
  4. Step 4: Simplify right side
    3,371.67x = 5,970,098.91
  5. Step 5: Solve for x
    x = 5,970,098.91/3,371.67
  6. Step 6: Final answer
    x = 1,770.67

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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.