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Finding the Fourth Proportional to 2,775.48, 4,163.42 and 827.70

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Solution

The fourth proportional to 2,775.48, 4,163.42 and 827.70 is: 1,241.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.48 : 4,163.42 = 827.70 : x
  2. Step 2: Convert to fraction form
    2,775.48/4,163.42 = 827.70/x
  3. Step 3: Cross multiply
    2,775.48x = 4,163.42 × 827.70
  4. Step 4: Simplify right side
    2,775.48x = 3,446,062.73
  5. Step 5: Solve for x
    x = 3,446,062.73/2,775.48
  6. Step 6: Final answer
    x = 1,241.61

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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.