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Finding the Fourth Proportional to 2,775.60, 4,164.12 and 827.76

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Solution

The fourth proportional to 2,775.60, 4,164.12 and 827.76 is: 1,241.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.60 : 4,164.12 = 827.76 : x
  2. Step 2: Convert to fraction form
    2,775.60/4,164.12 = 827.76/x
  3. Step 3: Cross multiply
    2,775.60x = 4,164.12 × 827.76
  4. Step 4: Simplify right side
    2,775.60x = 3,446,891.97
  5. Step 5: Solve for x
    x = 3,446,891.97/2,775.60
  6. Step 6: Final answer
    x = 1,241.85

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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.