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Finding the Fourth Proportional to 2,305.28, 3,456.96 and 844.16

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Solution

The fourth proportional to 2,305.28, 3,456.96 and 844.16 is: 1,265.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.28 : 3,456.96 = 844.16 : x
  2. Step 2: Convert to fraction form
    2,305.28/3,456.96 = 844.16/x
  3. Step 3: Cross multiply
    2,305.28x = 3,456.96 × 844.16
  4. Step 4: Simplify right side
    2,305.28x = 2,918,227.35
  5. Step 5: Solve for x
    x = 2,918,227.35/2,305.28
  6. Step 6: Final answer
    x = 1,265.89

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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.