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Finding the Fourth Proportional to 2,073.80, 3,112.71 and 978.92

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Solution

The fourth proportional to 2,073.80, 3,112.71 and 978.92 is: 1,469.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.80 : 3,112.71 = 978.92 : x
  2. Step 2: Convert to fraction form
    2,073.80/3,112.71 = 978.92/x
  3. Step 3: Cross multiply
    2,073.80x = 3,112.71 × 978.92
  4. Step 4: Simplify right side
    2,073.80x = 3,047,094.07
  5. Step 5: Solve for x
    x = 3,047,094.07/2,073.80
  6. Step 6: Final answer
    x = 1,469.33

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