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Finding the Fourth Proportional to 1,896.26, 2,842.97 and 1,278.23

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Solution

The fourth proportional to 1,896.26, 2,842.97 and 1,278.23 is: 1,916.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.26 : 2,842.97 = 1,278.23 : x
  2. Step 2: Convert to fraction form
    1,896.26/2,842.97 = 1,278.23/x
  3. Step 3: Cross multiply
    1,896.26x = 2,842.97 × 1,278.23
  4. Step 4: Simplify right side
    1,896.26x = 3,633,948.94
  5. Step 5: Solve for x
    x = 3,633,948.94/1,896.26
  6. Step 6: Final answer
    x = 1,916.38

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