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Finding the Fourth Proportional to 1,640.48, 2,462.55 and 1,614.97

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Solution

The fourth proportional to 1,640.48, 2,462.55 and 1,614.97 is: 2,424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.48 : 2,462.55 = 1,614.97 : x
  2. Step 2: Convert to fraction form
    1,640.48/2,462.55 = 1,614.97/x
  3. Step 3: Cross multiply
    1,640.48x = 2,462.55 × 1,614.97
  4. Step 4: Simplify right side
    1,640.48x = 3,976,938.22
  5. Step 5: Solve for x
    x = 3,976,938.22/1,640.48
  6. Step 6: Final answer
    x = 2,424.25

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