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Finding the Fourth Proportional to 1,539.10, 2,122.24 and 978.86

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Solution

The fourth proportional to 1,539.10, 2,122.24 and 978.86 is: 1,349.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.10 : 2,122.24 = 978.86 : x
  2. Step 2: Convert to fraction form
    1,539.10/2,122.24 = 978.86/x
  3. Step 3: Cross multiply
    1,539.10x = 2,122.24 × 978.86
  4. Step 4: Simplify right side
    1,539.10x = 2,077,375.85
  5. Step 5: Solve for x
    x = 2,077,375.85/1,539.10
  6. Step 6: Final answer
    x = 1,349.73

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