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Finding the Fourth Proportional to 2,676.25, 4,013.98 and 827.43

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Solution

The fourth proportional to 2,676.25, 4,013.98 and 827.43 is: 1,241.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.25 : 4,013.98 = 827.43 : x
  2. Step 2: Convert to fraction form
    2,676.25/4,013.98 = 827.43/x
  3. Step 3: Cross multiply
    2,676.25x = 4,013.98 × 827.43
  4. Step 4: Simplify right side
    2,676.25x = 3,321,287.47
  5. Step 5: Solve for x
    x = 3,321,287.47/2,676.25
  6. Step 6: Final answer
    x = 1,241.02

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