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Finding the Fourth Proportional to 2,027.15, 3,040.71 and 640.59

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Solution

The fourth proportional to 2,027.15, 3,040.71 and 640.59 is: 960.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.15 : 3,040.71 = 640.59 : x
  2. Step 2: Convert to fraction form
    2,027.15/3,040.71 = 640.59/x
  3. Step 3: Cross multiply
    2,027.15x = 3,040.71 × 640.59
  4. Step 4: Simplify right side
    2,027.15x = 1,947,848.42
  5. Step 5: Solve for x
    x = 1,947,848.42/2,027.15
  6. Step 6: Final answer
    x = 960.88

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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.