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Finding the Fourth Proportional to 2,229.32, 3,344.15 and 669.21

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Solution

The fourth proportional to 2,229.32, 3,344.15 and 669.21 is: 1,003.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.32 : 3,344.15 = 669.21 : x
  2. Step 2: Convert to fraction form
    2,229.32/3,344.15 = 669.21/x
  3. Step 3: Cross multiply
    2,229.32x = 3,344.15 × 669.21
  4. Step 4: Simplify right side
    2,229.32x = 2,237,940.29
  5. Step 5: Solve for x
    x = 2,237,940.29/2,229.32
  6. Step 6: Final answer
    x = 1,003.87

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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.