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Finding the Fourth Proportional to 2,027.08, 3,040.64 and 640.39

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Solution

The fourth proportional to 2,027.08, 3,040.64 and 640.39 is: 960.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.08 : 3,040.64 = 640.39 : x
  2. Step 2: Convert to fraction form
    2,027.08/3,040.64 = 640.39/x
  3. Step 3: Cross multiply
    2,027.08x = 3,040.64 × 640.39
  4. Step 4: Simplify right side
    2,027.08x = 1,947,195.45
  5. Step 5: Solve for x
    x = 1,947,195.45/2,027.08
  6. Step 6: Final answer
    x = 960.59

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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.