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Finding the Fourth Proportional to 1,764.24, 2,434.47 and 978.12

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Solution

The fourth proportional to 1,764.24, 2,434.47 and 978.12 is: 1,349.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.24 : 2,434.47 = 978.12 : x
  2. Step 2: Convert to fraction form
    1,764.24/2,434.47 = 978.12/x
  3. Step 3: Cross multiply
    1,764.24x = 2,434.47 × 978.12
  4. Step 4: Simplify right side
    1,764.24x = 2,381,203.80
  5. Step 5: Solve for x
    x = 2,381,203.80/1,764.24
  6. Step 6: Final answer
    x = 1,349.71

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