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Finding the Fourth Proportional to 2,489.33, 3,733.09 and 845.44

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Solution

The fourth proportional to 2,489.33, 3,733.09 and 845.44 is: 1,267.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.33 : 3,733.09 = 845.44 : x
  2. Step 2: Convert to fraction form
    2,489.33/3,733.09 = 845.44/x
  3. Step 3: Cross multiply
    2,489.33x = 3,733.09 × 845.44
  4. Step 4: Simplify right side
    2,489.33x = 3,156,092.16
  5. Step 5: Solve for x
    x = 3,156,092.16/2,489.33
  6. Step 6: Final answer
    x = 1,267.85

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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.