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Finding the Fourth Proportional to 2,198.92, 3,296.40 and 1,583.32

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Solution

The fourth proportional to 2,198.92, 3,296.40 and 1,583.32 is: 2,373.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.92 : 3,296.40 = 1,583.32 : x
  2. Step 2: Convert to fraction form
    2,198.92/3,296.40 = 1,583.32/x
  3. Step 3: Cross multiply
    2,198.92x = 3,296.40 × 1,583.32
  4. Step 4: Simplify right side
    2,198.92x = 5,219,256.05
  5. Step 5: Solve for x
    x = 5,219,256.05/2,198.92
  6. Step 6: Final answer
    x = 2,373.55

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