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Finding the Fourth Proportional to 2,676.25, 4,014.03 and 827.22

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Solution

The fourth proportional to 2,676.25, 4,014.03 and 827.22 is: 1,240.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.25 : 4,014.03 = 827.22 : x
  2. Step 2: Convert to fraction form
    2,676.25/4,014.03 = 827.22/x
  3. Step 3: Cross multiply
    2,676.25x = 4,014.03 × 827.22
  4. Step 4: Simplify right side
    2,676.25x = 3,320,485.90
  5. Step 5: Solve for x
    x = 3,320,485.90/2,676.25
  6. Step 6: Final answer
    x = 1,240.73

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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.