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Finding the Fourth Proportional to 1,987.91, 2,981.89 and 1,109.90

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Solution

The fourth proportional to 1,987.91, 2,981.89 and 1,109.90 is: 1,664.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.91 : 2,981.89 = 1,109.90 : x
  2. Step 2: Convert to fraction form
    1,987.91/2,981.89 = 1,109.90/x
  3. Step 3: Cross multiply
    1,987.91x = 2,981.89 × 1,109.90
  4. Step 4: Simplify right side
    1,987.91x = 3,309,584.80
  5. Step 5: Solve for x
    x = 3,309,584.80/1,987.91
  6. Step 6: Final answer
    x = 1,664.86

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