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Finding the Fourth Proportional to 2,229.74, 3,343.56 and 669.14

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Solution

The fourth proportional to 2,229.74, 3,343.56 and 669.14 is: 1,003.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.74 : 3,343.56 = 669.14 : x
  2. Step 2: Convert to fraction form
    2,229.74/3,343.56 = 669.14/x
  3. Step 3: Cross multiply
    2,229.74x = 3,343.56 × 669.14
  4. Step 4: Simplify right side
    2,229.74x = 2,237,309.74
  5. Step 5: Solve for x
    x = 2,237,309.74/2,229.74
  6. Step 6: Final answer
    x = 1,003.39

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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.