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Finding the Fourth Proportional to 2,640.20, 3,960.09 and 1,160.87

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Solution

The fourth proportional to 2,640.20, 3,960.09 and 1,160.87 is: 1,741.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.20 : 3,960.09 = 1,160.87 : x
  2. Step 2: Convert to fraction form
    2,640.20/3,960.09 = 1,160.87/x
  3. Step 3: Cross multiply
    2,640.20x = 3,960.09 × 1,160.87
  4. Step 4: Simplify right side
    2,640.20x = 4,597,129.88
  5. Step 5: Solve for x
    x = 4,597,129.88/2,640.20
  6. Step 6: Final answer
    x = 1,741.21

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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.