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Finding the Fourth Proportional to 1,641.88, 2,265.42 and 978.94

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Solution

The fourth proportional to 1,641.88, 2,265.42 and 978.94 is: 1,350.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.88 : 2,265.42 = 978.94 : x
  2. Step 2: Convert to fraction form
    1,641.88/2,265.42 = 978.94/x
  3. Step 3: Cross multiply
    1,641.88x = 2,265.42 × 978.94
  4. Step 4: Simplify right side
    1,641.88x = 2,217,710.25
  5. Step 5: Solve for x
    x = 2,217,710.25/1,641.88
  6. Step 6: Final answer
    x = 1,350.71

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