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Finding the Fourth Proportional to 2,564.94, 3,839.54 and 1,871.44

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Solution

The fourth proportional to 2,564.94, 3,839.54 and 1,871.44 is: 2,801.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.94 : 3,839.54 = 1,871.44 : x
  2. Step 2: Convert to fraction form
    2,564.94/3,839.54 = 1,871.44/x
  3. Step 3: Cross multiply
    2,564.94x = 3,839.54 × 1,871.44
  4. Step 4: Simplify right side
    2,564.94x = 7,185,468.74
  5. Step 5: Solve for x
    x = 7,185,468.74/2,564.94
  6. Step 6: Final answer
    x = 2,801.42

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