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Finding the Fourth Proportional to 2,596.81, 3,891.42 and 1,280.17

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Solution

The fourth proportional to 2,596.81, 3,891.42 and 1,280.17 is: 1,918.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.81 : 3,891.42 = 1,280.17 : x
  2. Step 2: Convert to fraction form
    2,596.81/3,891.42 = 1,280.17/x
  3. Step 3: Cross multiply
    2,596.81x = 3,891.42 × 1,280.17
  4. Step 4: Simplify right side
    2,596.81x = 4,981,679.14
  5. Step 5: Solve for x
    x = 4,981,679.14/2,596.81
  6. Step 6: Final answer
    x = 1,918.38

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