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Finding the Fourth Proportional to 2,581.80, 3,871.89 and 1,486.68

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Solution

The fourth proportional to 2,581.80, 3,871.89 and 1,486.68 is: 2,229.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.80 : 3,871.89 = 1,486.68 : x
  2. Step 2: Convert to fraction form
    2,581.80/3,871.89 = 1,486.68/x
  3. Step 3: Cross multiply
    2,581.80x = 3,871.89 × 1,486.68
  4. Step 4: Simplify right side
    2,581.80x = 5,756,261.43
  5. Step 5: Solve for x
    x = 5,756,261.43/2,581.80
  6. Step 6: Final answer
    x = 2,229.55

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