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Finding the Fourth Proportional to 2,584.81, 3,871.86 and 1,348.47

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Solution

The fourth proportional to 2,584.81, 3,871.86 and 1,348.47 is: 2,019.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.81 : 3,871.86 = 1,348.47 : x
  2. Step 2: Convert to fraction form
    2,584.81/3,871.86 = 1,348.47/x
  3. Step 3: Cross multiply
    2,584.81x = 3,871.86 × 1,348.47
  4. Step 4: Simplify right side
    2,584.81x = 5,221,100.11
  5. Step 5: Solve for x
    x = 5,221,100.11/2,584.81
  6. Step 6: Final answer
    x = 2,019.92

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