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Finding the Fourth Proportional to 3,296.25, 4,942.56 and 1,446.42

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Solution

The fourth proportional to 3,296.25, 4,942.56 and 1,446.42 is: 2,168.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.25 : 4,942.56 = 1,446.42 : x
  2. Step 2: Convert to fraction form
    3,296.25/4,942.56 = 1,446.42/x
  3. Step 3: Cross multiply
    3,296.25x = 4,942.56 × 1,446.42
  4. Step 4: Simplify right side
    3,296.25x = 7,149,017.64
  5. Step 5: Solve for x
    x = 7,149,017.64/3,296.25
  6. Step 6: Final answer
    x = 2,168.83

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