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Finding the Fourth Proportional to 2,229.17, 3,343.70 and 669.11

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Solution

The fourth proportional to 2,229.17, 3,343.70 and 669.11 is: 1,003.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.17 : 3,343.70 = 669.11 : x
  2. Step 2: Convert to fraction form
    2,229.17/3,343.70 = 669.11/x
  3. Step 3: Cross multiply
    2,229.17x = 3,343.70 × 669.11
  4. Step 4: Simplify right side
    2,229.17x = 2,237,283.04
  5. Step 5: Solve for x
    x = 2,237,283.04/2,229.17
  6. Step 6: Final answer
    x = 1,003.64

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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.