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Finding the Fourth Proportional to 2,583.71, 3,873.40 and 1,198.03

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Solution

The fourth proportional to 2,583.71, 3,873.40 and 1,198.03 is: 1,796.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.71 : 3,873.40 = 1,198.03 : x
  2. Step 2: Convert to fraction form
    2,583.71/3,873.40 = 1,198.03/x
  3. Step 3: Cross multiply
    2,583.71x = 3,873.40 × 1,198.03
  4. Step 4: Simplify right side
    2,583.71x = 4,640,443.41
  5. Step 5: Solve for x
    x = 4,640,443.41/2,583.71
  6. Step 6: Final answer
    x = 1,796.04

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