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Finding the Fourth Proportional to 2,583.78, 3,871.89 and 1,283.46

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Solution

The fourth proportional to 2,583.78, 3,871.89 and 1,283.46 is: 1,923.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.78 : 3,871.89 = 1,283.46 : x
  2. Step 2: Convert to fraction form
    2,583.78/3,871.89 = 1,283.46/x
  3. Step 3: Cross multiply
    2,583.78x = 3,871.89 × 1,283.46
  4. Step 4: Simplify right side
    2,583.78x = 4,969,415.94
  5. Step 5: Solve for x
    x = 4,969,415.94/2,583.78
  6. Step 6: Final answer
    x = 1,923.31

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