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Finding the Fourth Proportional to 2,640.82, 3,960.27 and 996.52

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Solution

The fourth proportional to 2,640.82, 3,960.27 and 996.52 is: 1,494.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.82 : 3,960.27 = 996.52 : x
  2. Step 2: Convert to fraction form
    2,640.82/3,960.27 = 996.52/x
  3. Step 3: Cross multiply
    2,640.82x = 3,960.27 × 996.52
  4. Step 4: Simplify right side
    2,640.82x = 3,946,488.26
  5. Step 5: Solve for x
    x = 3,946,488.26/2,640.82
  6. Step 6: Final answer
    x = 1,494.42

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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.