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Finding the Fourth Proportional to 2,073.64, 3,110.28 and 978.28

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Solution

The fourth proportional to 2,073.64, 3,110.28 and 978.28 is: 1,467.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.64 : 3,110.28 = 978.28 : x
  2. Step 2: Convert to fraction form
    2,073.64/3,110.28 = 978.28/x
  3. Step 3: Cross multiply
    2,073.64x = 3,110.28 × 978.28
  4. Step 4: Simplify right side
    2,073.64x = 3,042,724.72
  5. Step 5: Solve for x
    x = 3,042,724.72/2,073.64
  6. Step 6: Final answer
    x = 1,467.34

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