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Finding the Fourth Proportional to 2,299.28, 3,449.24 and 839.12

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Solution

The fourth proportional to 2,299.28, 3,449.24 and 839.12 is: 1,258.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.28 : 3,449.24 = 839.12 : x
  2. Step 2: Convert to fraction form
    2,299.28/3,449.24 = 839.12/x
  3. Step 3: Cross multiply
    2,299.28x = 3,449.24 × 839.12
  4. Step 4: Simplify right side
    2,299.28x = 2,894,326.27
  5. Step 5: Solve for x
    x = 2,894,326.27/2,299.28
  6. Step 6: Final answer
    x = 1,258.80

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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.