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Finding the Fourth Proportional to 2,640.28, 3,642.90 and 1,520.96

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Solution

The fourth proportional to 2,640.28, 3,642.90 and 1,520.96 is: 2,098.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.28 : 3,642.90 = 1,520.96 : x
  2. Step 2: Convert to fraction form
    2,640.28/3,642.90 = 1,520.96/x
  3. Step 3: Cross multiply
    2,640.28x = 3,642.90 × 1,520.96
  4. Step 4: Simplify right side
    2,640.28x = 5,540,705.18
  5. Step 5: Solve for x
    x = 5,540,705.18/2,640.28
  6. Step 6: Final answer
    x = 2,098.53

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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.