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Finding the Fourth Proportional to 1,982.09, 2,972.02 and 811.77

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Solution

The fourth proportional to 1,982.09, 2,972.02 and 811.77 is: 1,217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.09 : 2,972.02 = 811.77 : x
  2. Step 2: Convert to fraction form
    1,982.09/2,972.02 = 811.77/x
  3. Step 3: Cross multiply
    1,982.09x = 2,972.02 × 811.77
  4. Step 4: Simplify right side
    1,982.09x = 2,412,596.68
  5. Step 5: Solve for x
    x = 2,412,596.68/1,982.09
  6. Step 6: Final answer
    x = 1,217.20

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