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Finding the Fourth Proportional to 2,777.11, 4,164.25 and 927.56

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Solution

The fourth proportional to 2,777.11, 4,164.25 and 927.56 is: 1,390.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.11 : 4,164.25 = 927.56 : x
  2. Step 2: Convert to fraction form
    2,777.11/4,164.25 = 927.56/x
  3. Step 3: Cross multiply
    2,777.11x = 4,164.25 × 927.56
  4. Step 4: Simplify right side
    2,777.11x = 3,862,591.73
  5. Step 5: Solve for x
    x = 3,862,591.73/2,777.11
  6. Step 6: Final answer
    x = 1,390.87

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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.