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Finding the Fourth Proportional to 2,026.78, 3,040.60 and 640.52

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Solution

The fourth proportional to 2,026.78, 3,040.60 and 640.52 is: 960.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.78 : 3,040.60 = 640.52 : x
  2. Step 2: Convert to fraction form
    2,026.78/3,040.60 = 640.52/x
  3. Step 3: Cross multiply
    2,026.78x = 3,040.60 × 640.52
  4. Step 4: Simplify right side
    2,026.78x = 1,947,565.11
  5. Step 5: Solve for x
    x = 1,947,565.11/2,026.78
  6. Step 6: Final answer
    x = 960.92

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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.