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Finding the Fourth Proportional to 2,229.60, 3,344.88 and 931.04

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Solution

The fourth proportional to 2,229.60, 3,344.88 and 931.04 is: 1,396.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.60 : 3,344.88 = 931.04 : x
  2. Step 2: Convert to fraction form
    2,229.60/3,344.88 = 931.04/x
  3. Step 3: Cross multiply
    2,229.60x = 3,344.88 × 931.04
  4. Step 4: Simplify right side
    2,229.60x = 3,114,217.08
  5. Step 5: Solve for x
    x = 3,114,217.08/2,229.60
  6. Step 6: Final answer
    x = 1,396.76

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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.