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Finding the Fourth Proportional to 2,009.38, 3,009.75 and 1,987.24

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Solution

The fourth proportional to 2,009.38, 3,009.75 and 1,987.24 is: 2,976.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.38 : 3,009.75 = 1,987.24 : x
  2. Step 2: Convert to fraction form
    2,009.38/3,009.75 = 1,987.24/x
  3. Step 3: Cross multiply
    2,009.38x = 3,009.75 × 1,987.24
  4. Step 4: Simplify right side
    2,009.38x = 5,981,095.59
  5. Step 5: Solve for x
    x = 5,981,095.59/2,009.38
  6. Step 6: Final answer
    x = 2,976.59

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