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Finding the Fourth Proportional to 2,834.22, 4,243.44 and 2,138.78

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Solution

The fourth proportional to 2,834.22, 4,243.44 and 2,138.78 is: 3,202.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.22 : 4,243.44 = 2,138.78 : x
  2. Step 2: Convert to fraction form
    2,834.22/4,243.44 = 2,138.78/x
  3. Step 3: Cross multiply
    2,834.22x = 4,243.44 × 2,138.78
  4. Step 4: Simplify right side
    2,834.22x = 9,075,784.60
  5. Step 5: Solve for x
    x = 9,075,784.60/2,834.22
  6. Step 6: Final answer
    x = 3,202.22

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