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Finding the Fourth Proportional to 2,204.97, 3,301.52 and 1,162.80

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Solution

The fourth proportional to 2,204.97, 3,301.52 and 1,162.80 is: 1,741.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.97 : 3,301.52 = 1,162.80 : x
  2. Step 2: Convert to fraction form
    2,204.97/3,301.52 = 1,162.80/x
  3. Step 3: Cross multiply
    2,204.97x = 3,301.52 × 1,162.80
  4. Step 4: Simplify right side
    2,204.97x = 3,839,007.46
  5. Step 5: Solve for x
    x = 3,839,007.46/2,204.97
  6. Step 6: Final answer
    x = 1,741.07

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