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Finding the Fourth Proportional to 2,654.16, 3,981.81 and 805.41

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Solution

The fourth proportional to 2,654.16, 3,981.81 and 805.41 is: 1,208.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.16 : 3,981.81 = 805.41 : x
  2. Step 2: Convert to fraction form
    2,654.16/3,981.81 = 805.41/x
  3. Step 3: Cross multiply
    2,654.16x = 3,981.81 × 805.41
  4. Step 4: Simplify right side
    2,654.16x = 3,206,989.59
  5. Step 5: Solve for x
    x = 3,206,989.59/2,654.16
  6. Step 6: Final answer
    x = 1,208.29

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