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Finding the Fourth Proportional to 3,176.82, 4,379.42 and 2,229.68

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Solution

The fourth proportional to 3,176.82, 4,379.42 and 2,229.68 is: 3,073.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.82 : 4,379.42 = 2,229.68 : x
  2. Step 2: Convert to fraction form
    3,176.82/4,379.42 = 2,229.68/x
  3. Step 3: Cross multiply
    3,176.82x = 4,379.42 × 2,229.68
  4. Step 4: Simplify right side
    3,176.82x = 9,764,705.19
  5. Step 5: Solve for x
    x = 9,764,705.19/3,176.82
  6. Step 6: Final answer
    x = 3,073.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.