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Finding the Fourth Proportional to 2,842.54, 4,261.97 and 1,198.64

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Solution

The fourth proportional to 2,842.54, 4,261.97 and 1,198.64 is: 1,797.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.54 : 4,261.97 = 1,198.64 : x
  2. Step 2: Convert to fraction form
    2,842.54/4,261.97 = 1,198.64/x
  3. Step 3: Cross multiply
    2,842.54x = 4,261.97 × 1,198.64
  4. Step 4: Simplify right side
    2,842.54x = 5,108,581.37
  5. Step 5: Solve for x
    x = 5,108,581.37/2,842.54
  6. Step 6: Final answer
    x = 1,797.19

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