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Finding the Fourth Proportional to 3,379.50, 4,663.80 and 2,202.66

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Solution

The fourth proportional to 3,379.50, 4,663.80 and 2,202.66 is: 3,039.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,379.50 : 4,663.80 = 2,202.66 : x
  2. Step 2: Convert to fraction form
    3,379.50/4,663.80 = 2,202.66/x
  3. Step 3: Cross multiply
    3,379.50x = 4,663.80 × 2,202.66
  4. Step 4: Simplify right side
    3,379.50x = 10,272,765.71
  5. Step 5: Solve for x
    x = 10,272,765.71/3,379.50
  6. Step 6: Final answer
    x = 3,039.73

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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.