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Finding the Fourth Proportional to 3,679.69, 5,519.05 and 1,180.66

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Solution

The fourth proportional to 3,679.69, 5,519.05 and 1,180.66 is: 1,770.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.69 : 5,519.05 = 1,180.66 : x
  2. Step 2: Convert to fraction form
    3,679.69/5,519.05 = 1,180.66/x
  3. Step 3: Cross multiply
    3,679.69x = 5,519.05 × 1,180.66
  4. Step 4: Simplify right side
    3,679.69x = 6,516,121.57
  5. Step 5: Solve for x
    x = 6,516,121.57/3,679.69
  6. Step 6: Final answer
    x = 1,770.83

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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.