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Finding the Fourth Proportional to 2,194.10, 3,287.83 and 960.82

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Solution

The fourth proportional to 2,194.10, 3,287.83 and 960.82 is: 1,439.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.10 : 3,287.83 = 960.82 : x
  2. Step 2: Convert to fraction form
    2,194.10/3,287.83 = 960.82/x
  3. Step 3: Cross multiply
    2,194.10x = 3,287.83 × 960.82
  4. Step 4: Simplify right side
    2,194.10x = 3,159,012.82
  5. Step 5: Solve for x
    x = 3,159,012.82/2,194.10
  6. Step 6: Final answer
    x = 1,439.78

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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.