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Finding the Fourth Proportional to 1,640.91, 2,456.96 and 1,023.38

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Solution

The fourth proportional to 1,640.91, 2,456.96 and 1,023.38 is: 1,532.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.91 : 2,456.96 = 1,023.38 : x
  2. Step 2: Convert to fraction form
    1,640.91/2,456.96 = 1,023.38/x
  3. Step 3: Cross multiply
    1,640.91x = 2,456.96 × 1,023.38
  4. Step 4: Simplify right side
    1,640.91x = 2,514,412.24
  5. Step 5: Solve for x
    x = 2,514,412.24/1,640.91
  6. Step 6: Final answer
    x = 1,532.33

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