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Finding the Fourth Proportional to 1,836.26, 2,753.07 and 861.82

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Solution

The fourth proportional to 1,836.26, 2,753.07 and 861.82 is: 1,292.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.26 : 2,753.07 = 861.82 : x
  2. Step 2: Convert to fraction form
    1,836.26/2,753.07 = 861.82/x
  3. Step 3: Cross multiply
    1,836.26x = 2,753.07 × 861.82
  4. Step 4: Simplify right side
    1,836.26x = 2,372,650.79
  5. Step 5: Solve for x
    x = 2,372,650.79/1,836.26
  6. Step 6: Final answer
    x = 1,292.11

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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.