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Finding the Fourth Proportional to 2,305.20, 3,456.72 and 843.96

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Solution

The fourth proportional to 2,305.20, 3,456.72 and 843.96 is: 1,265.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.20 : 3,456.72 = 843.96 : x
  2. Step 2: Convert to fraction form
    2,305.20/3,456.72 = 843.96/x
  3. Step 3: Cross multiply
    2,305.20x = 3,456.72 × 843.96
  4. Step 4: Simplify right side
    2,305.20x = 2,917,333.41
  5. Step 5: Solve for x
    x = 2,917,333.41/2,305.20
  6. Step 6: Final answer
    x = 1,265.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.