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Finding the Fourth Proportional to 2,676.32, 4,014.29 and 827.24

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Solution

The fourth proportional to 2,676.32, 4,014.29 and 827.24 is: 1,240.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.32 : 4,014.29 = 827.24 : x
  2. Step 2: Convert to fraction form
    2,676.32/4,014.29 = 827.24/x
  3. Step 3: Cross multiply
    2,676.32x = 4,014.29 × 827.24
  4. Step 4: Simplify right side
    2,676.32x = 3,320,757.05
  5. Step 5: Solve for x
    x = 3,320,757.05/2,676.32
  6. Step 6: Final answer
    x = 1,240.79

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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.