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Finding the Fourth Proportional to 2,276.96, 3,414.81 and 978.13

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Solution

The fourth proportional to 2,276.96, 3,414.81 and 978.13 is: 1,466.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.96 : 3,414.81 = 978.13 : x
  2. Step 2: Convert to fraction form
    2,276.96/3,414.81 = 978.13/x
  3. Step 3: Cross multiply
    2,276.96x = 3,414.81 × 978.13
  4. Step 4: Simplify right side
    2,276.96x = 3,340,128.11
  5. Step 5: Solve for x
    x = 3,340,128.11/2,276.96
  6. Step 6: Final answer
    x = 1,466.92

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