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Finding the Fourth Proportional to 2,277.51, 3,414.43 and 978.27

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Solution

The fourth proportional to 2,277.51, 3,414.43 and 978.27 is: 1,466.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.51 : 3,414.43 = 978.27 : x
  2. Step 2: Convert to fraction form
    2,277.51/3,414.43 = 978.27/x
  3. Step 3: Cross multiply
    2,277.51x = 3,414.43 × 978.27
  4. Step 4: Simplify right side
    2,277.51x = 3,340,234.44
  5. Step 5: Solve for x
    x = 3,340,234.44/2,277.51
  6. Step 6: Final answer
    x = 1,466.62

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