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Finding the Fourth Proportional to 1,764.22, 2,434.78 and 978.42

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Solution

The fourth proportional to 1,764.22, 2,434.78 and 978.42 is: 1,350.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.22 : 2,434.78 = 978.42 : x
  2. Step 2: Convert to fraction form
    1,764.22/2,434.78 = 978.42/x
  3. Step 3: Cross multiply
    1,764.22x = 2,434.78 × 978.42
  4. Step 4: Simplify right side
    1,764.22x = 2,382,237.45
  5. Step 5: Solve for x
    x = 2,382,237.45/1,764.22
  6. Step 6: Final answer
    x = 1,350.31

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