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Finding the Fourth Proportional to 1,882.11, 2,823.20 and 1,107.56

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Solution

The fourth proportional to 1,882.11, 2,823.20 and 1,107.56 is: 1,661.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.11 : 2,823.20 = 1,107.56 : x
  2. Step 2: Convert to fraction form
    1,882.11/2,823.20 = 1,107.56/x
  3. Step 3: Cross multiply
    1,882.11x = 2,823.20 × 1,107.56
  4. Step 4: Simplify right side
    1,882.11x = 3,126,843.74
  5. Step 5: Solve for x
    x = 3,126,843.74/1,882.11
  6. Step 6: Final answer
    x = 1,661.35

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