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Finding the Fourth Proportional to 1,764.23, 2,434.77 and 978.41

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Solution

The fourth proportional to 1,764.23, 2,434.77 and 978.41 is: 1,350.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.23 : 2,434.77 = 978.41 : x
  2. Step 2: Convert to fraction form
    1,764.23/2,434.77 = 978.41/x
  3. Step 3: Cross multiply
    1,764.23x = 2,434.77 × 978.41
  4. Step 4: Simplify right side
    1,764.23x = 2,382,203.32
  5. Step 5: Solve for x
    x = 2,382,203.32/1,764.23
  6. Step 6: Final answer
    x = 1,350.28

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