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Finding the Fourth Proportional to 1,641.15, 2,264.85 and 978.15

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Solution

The fourth proportional to 1,641.15, 2,264.85 and 978.15 is: 1,349.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.15 : 2,264.85 = 978.15 : x
  2. Step 2: Convert to fraction form
    1,641.15/2,264.85 = 978.15/x
  3. Step 3: Cross multiply
    1,641.15x = 2,264.85 × 978.15
  4. Step 4: Simplify right side
    1,641.15x = 2,215,363.03
  5. Step 5: Solve for x
    x = 2,215,363.03/1,641.15
  6. Step 6: Final answer
    x = 1,349.88

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