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Finding the Fourth Proportional to 1,724.56, 2,380.08 and 978.52

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Solution

The fourth proportional to 1,724.56, 2,380.08 and 978.52 is: 1,350.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.56 : 2,380.08 = 978.52 : x
  2. Step 2: Convert to fraction form
    1,724.56/2,380.08 = 978.52/x
  3. Step 3: Cross multiply
    1,724.56x = 2,380.08 × 978.52
  4. Step 4: Simplify right side
    1,724.56x = 2,328,955.88
  5. Step 5: Solve for x
    x = 2,328,955.88/1,724.56
  6. Step 6: Final answer
    x = 1,350.46

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