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Finding the Fourth Proportional to 1,983.81, 2,975.70 and 829.56

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Solution

The fourth proportional to 1,983.81, 2,975.70 and 829.56 is: 1,244.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.81 : 2,975.70 = 829.56 : x
  2. Step 2: Convert to fraction form
    1,983.81/2,975.70 = 829.56/x
  3. Step 3: Cross multiply
    1,983.81x = 2,975.70 × 829.56
  4. Step 4: Simplify right side
    1,983.81x = 2,468,521.69
  5. Step 5: Solve for x
    x = 2,468,521.69/1,983.81
  6. Step 6: Final answer
    x = 1,244.33

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