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Finding the Fourth Proportional to 1,909.80, 2,867.40 and 1,180.80

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Solution

The fourth proportional to 1,909.80, 2,867.40 and 1,180.80 is: 1,772.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.80 : 2,867.40 = 1,180.80 : x
  2. Step 2: Convert to fraction form
    1,909.80/2,867.40 = 1,180.80/x
  3. Step 3: Cross multiply
    1,909.80x = 2,867.40 × 1,180.80
  4. Step 4: Simplify right side
    1,909.80x = 3,385,825.92
  5. Step 5: Solve for x
    x = 3,385,825.92/1,909.80
  6. Step 6: Final answer
    x = 1,772.87

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