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Finding the Fourth Proportional to 3,206.92, 4,806.78 and 2,098.46

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Solution

The fourth proportional to 3,206.92, 4,806.78 and 2,098.46 is: 3,145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.92 : 4,806.78 = 2,098.46 : x
  2. Step 2: Convert to fraction form
    3,206.92/4,806.78 = 2,098.46/x
  3. Step 3: Cross multiply
    3,206.92x = 4,806.78 × 2,098.46
  4. Step 4: Simplify right side
    3,206.92x = 10,086,835.56
  5. Step 5: Solve for x
    x = 10,086,835.56/3,206.92
  6. Step 6: Final answer
    x = 3,145.33

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