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Finding the Fourth Proportional to 2,761.85, 4,142.78 and 814.03

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Solution

The fourth proportional to 2,761.85, 4,142.78 and 814.03 is: 1,221.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.85 : 4,142.78 = 814.03 : x
  2. Step 2: Convert to fraction form
    2,761.85/4,142.78 = 814.03/x
  3. Step 3: Cross multiply
    2,761.85x = 4,142.78 × 814.03
  4. Step 4: Simplify right side
    2,761.85x = 3,372,347.20
  5. Step 5: Solve for x
    x = 3,372,347.20/2,761.85
  6. Step 6: Final answer
    x = 1,221.05

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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.