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Finding the Fourth Proportional to 1,642.86, 2,266.79 and 978.53

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Solution

The fourth proportional to 1,642.86, 2,266.79 and 978.53 is: 1,350.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.86 : 2,266.79 = 978.53 : x
  2. Step 2: Convert to fraction form
    1,642.86/2,266.79 = 978.53/x
  3. Step 3: Cross multiply
    1,642.86x = 2,266.79 × 978.53
  4. Step 4: Simplify right side
    1,642.86x = 2,218,105.79
  5. Step 5: Solve for x
    x = 2,218,105.79/1,642.86
  6. Step 6: Final answer
    x = 1,350.15

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