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Finding the Fourth Proportional to 1,983.62, 2,976.78 and 1,464.86

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Solution

The fourth proportional to 1,983.62, 2,976.78 and 1,464.86 is: 2,198.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.62 : 2,976.78 = 1,464.86 : x
  2. Step 2: Convert to fraction form
    1,983.62/2,976.78 = 1,464.86/x
  3. Step 3: Cross multiply
    1,983.62x = 2,976.78 × 1,464.86
  4. Step 4: Simplify right side
    1,983.62x = 4,360,565.95
  5. Step 5: Solve for x
    x = 4,360,565.95/1,983.62
  6. Step 6: Final answer
    x = 2,198.29

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