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Finding the Fourth Proportional to 2,640.46, 3,961.12 and 908.68

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Solution

The fourth proportional to 2,640.46, 3,961.12 and 908.68 is: 1,363.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.46 : 3,961.12 = 908.68 : x
  2. Step 2: Convert to fraction form
    2,640.46/3,961.12 = 908.68/x
  3. Step 3: Cross multiply
    2,640.46x = 3,961.12 × 908.68
  4. Step 4: Simplify right side
    2,640.46x = 3,599,390.52
  5. Step 5: Solve for x
    x = 3,599,390.52/2,640.46
  6. Step 6: Final answer
    x = 1,363.17

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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.