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Finding the Fourth Proportional to 2,640.44, 3,648.62 and 2,512.33

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Solution

The fourth proportional to 2,640.44, 3,648.62 and 2,512.33 is: 3,471.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.44 : 3,648.62 = 2,512.33 : x
  2. Step 2: Convert to fraction form
    2,640.44/3,648.62 = 2,512.33/x
  3. Step 3: Cross multiply
    2,640.44x = 3,648.62 × 2,512.33
  4. Step 4: Simplify right side
    2,640.44x = 9,166,537.48
  5. Step 5: Solve for x
    x = 9,166,537.48/2,640.44
  6. Step 6: Final answer
    x = 3,471.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.