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Finding the Fourth Proportional to 2,027.67, 3,040.35 and 640.74

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Solution

The fourth proportional to 2,027.67, 3,040.35 and 640.74 is: 960.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.67 : 3,040.35 = 640.74 : x
  2. Step 2: Convert to fraction form
    2,027.67/3,040.35 = 640.74/x
  3. Step 3: Cross multiply
    2,027.67x = 3,040.35 × 640.74
  4. Step 4: Simplify right side
    2,027.67x = 1,948,073.86
  5. Step 5: Solve for x
    x = 1,948,073.86/2,027.67
  6. Step 6: Final answer
    x = 960.75

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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.