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Finding the Fourth Proportional to 2,027.28, 3,040.68 and 640.56

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Solution

The fourth proportional to 2,027.28, 3,040.68 and 640.56 is: 960.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.28 : 3,040.68 = 640.56 : x
  2. Step 2: Convert to fraction form
    2,027.28/3,040.68 = 640.56/x
  3. Step 3: Cross multiply
    2,027.28x = 3,040.68 × 640.56
  4. Step 4: Simplify right side
    2,027.28x = 1,947,737.98
  5. Step 5: Solve for x
    x = 1,947,737.98/2,027.28
  6. Step 6: Final answer
    x = 960.76

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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.