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Finding the Fourth Proportional to 1,896.83, 2,843.56 and 1,019.80

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Solution

The fourth proportional to 1,896.83, 2,843.56 and 1,019.80 is: 1,528.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.83 : 2,843.56 = 1,019.80 : x
  2. Step 2: Convert to fraction form
    1,896.83/2,843.56 = 1,019.80/x
  3. Step 3: Cross multiply
    1,896.83x = 2,843.56 × 1,019.80
  4. Step 4: Simplify right side
    1,896.83x = 2,899,853.58
  5. Step 5: Solve for x
    x = 2,899,853.58/1,896.83
  6. Step 6: Final answer
    x = 1,528.79

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