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Finding the Fourth Proportional to 2,202.82, 3,304.26 and 1,106.62

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Solution

The fourth proportional to 2,202.82, 3,304.26 and 1,106.62 is: 1,659.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.82 : 3,304.26 = 1,106.62 : x
  2. Step 2: Convert to fraction form
    2,202.82/3,304.26 = 1,106.62/x
  3. Step 3: Cross multiply
    2,202.82x = 3,304.26 × 1,106.62
  4. Step 4: Simplify right side
    2,202.82x = 3,656,551.94
  5. Step 5: Solve for x
    x = 3,656,551.94/2,202.82
  6. Step 6: Final answer
    x = 1,659.94

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