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Finding the Fourth Proportional to 1,724.34, 2,379.50 and 978.24

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Solution

The fourth proportional to 1,724.34, 2,379.50 and 978.24 is: 1,349.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.34 : 2,379.50 = 978.24 : x
  2. Step 2: Convert to fraction form
    1,724.34/2,379.50 = 978.24/x
  3. Step 3: Cross multiply
    1,724.34x = 2,379.50 × 978.24
  4. Step 4: Simplify right side
    1,724.34x = 2,327,722.08
  5. Step 5: Solve for x
    x = 2,327,722.08/1,724.34
  6. Step 6: Final answer
    x = 1,349.92

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