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Finding the Fourth Proportional to 1,677.28, 2,314.72 and 978.88

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Solution

The fourth proportional to 1,677.28, 2,314.72 and 978.88 is: 1,350.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.28 : 2,314.72 = 978.88 : x
  2. Step 2: Convert to fraction form
    1,677.28/2,314.72 = 978.88/x
  3. Step 3: Cross multiply
    1,677.28x = 2,314.72 × 978.88
  4. Step 4: Simplify right side
    1,677.28x = 2,265,833.11
  5. Step 5: Solve for x
    x = 2,265,833.11/1,677.28
  6. Step 6: Final answer
    x = 1,350.90

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