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Finding the Fourth Proportional to 1,982.73, 2,975.85 and 1,009.38

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Solution

The fourth proportional to 1,982.73, 2,975.85 and 1,009.38 is: 1,514.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.73 : 2,975.85 = 1,009.38 : x
  2. Step 2: Convert to fraction form
    1,982.73/2,975.85 = 1,009.38/x
  3. Step 3: Cross multiply
    1,982.73x = 2,975.85 × 1,009.38
  4. Step 4: Simplify right side
    1,982.73x = 3,003,763.47
  5. Step 5: Solve for x
    x = 3,003,763.47/1,982.73
  6. Step 6: Final answer
    x = 1,514.96

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