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Finding the Fourth Proportional to 2,102.82, 3,149.10 and 1,582.26

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Solution

The fourth proportional to 2,102.82, 3,149.10 and 1,582.26 is: 2,369.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.82 : 3,149.10 = 1,582.26 : x
  2. Step 2: Convert to fraction form
    2,102.82/3,149.10 = 1,582.26/x
  3. Step 3: Cross multiply
    2,102.82x = 3,149.10 × 1,582.26
  4. Step 4: Simplify right side
    2,102.82x = 4,982,694.97
  5. Step 5: Solve for x
    x = 4,982,694.97/2,102.82
  6. Step 6: Final answer
    x = 2,369.53

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