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Finding the Fourth Proportional to 1,896.57, 2,844.83 and 1,164.83

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Solution

The fourth proportional to 1,896.57, 2,844.83 and 1,164.83 is: 1,747.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.57 : 2,844.83 = 1,164.83 : x
  2. Step 2: Convert to fraction form
    1,896.57/2,844.83 = 1,164.83/x
  3. Step 3: Cross multiply
    1,896.57x = 2,844.83 × 1,164.83
  4. Step 4: Simplify right side
    1,896.57x = 3,313,732.02
  5. Step 5: Solve for x
    x = 3,313,732.02/1,896.57
  6. Step 6: Final answer
    x = 1,747.22

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