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Finding the Fourth Proportional to 2,306.44, 3,456.69 and 843.85

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Solution

The fourth proportional to 2,306.44, 3,456.69 and 843.85 is: 1,264.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.44 : 3,456.69 = 843.85 : x
  2. Step 2: Convert to fraction form
    2,306.44/3,456.69 = 843.85/x
  3. Step 3: Cross multiply
    2,306.44x = 3,456.69 × 843.85
  4. Step 4: Simplify right side
    2,306.44x = 2,916,927.86
  5. Step 5: Solve for x
    x = 2,916,927.86/2,306.44
  6. Step 6: Final answer
    x = 1,264.69

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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.