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Finding the Fourth Proportional to 2,640.21, 3,648.32 and 2,512.11

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Solution

The fourth proportional to 2,640.21, 3,648.32 and 2,512.11 is: 3,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.21 : 3,648.32 = 2,512.11 : x
  2. Step 2: Convert to fraction form
    2,640.21/3,648.32 = 2,512.11/x
  3. Step 3: Cross multiply
    2,640.21x = 3,648.32 × 2,512.11
  4. Step 4: Simplify right side
    2,640.21x = 9,164,968.59
  5. Step 5: Solve for x
    x = 9,164,968.59/2,640.21
  6. Step 6: Final answer
    x = 3,471.30

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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.