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Finding the Fourth Proportional to 2,133.18, 3,199.41 and 978.66

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Solution

The fourth proportional to 2,133.18, 3,199.41 and 978.66 is: 1,467.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.18 : 3,199.41 = 978.66 : x
  2. Step 2: Convert to fraction form
    2,133.18/3,199.41 = 978.66/x
  3. Step 3: Cross multiply
    2,133.18x = 3,199.41 × 978.66
  4. Step 4: Simplify right side
    2,133.18x = 3,131,134.59
  5. Step 5: Solve for x
    x = 3,131,134.59/2,133.18
  6. Step 6: Final answer
    x = 1,467.82

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