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Finding the Fourth Proportional to 1,641.72, 2,264.88 and 978.21

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Solution

The fourth proportional to 1,641.72, 2,264.88 and 978.21 is: 1,349.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.72 : 2,264.88 = 978.21 : x
  2. Step 2: Convert to fraction form
    1,641.72/2,264.88 = 978.21/x
  3. Step 3: Cross multiply
    1,641.72x = 2,264.88 × 978.21
  4. Step 4: Simplify right side
    1,641.72x = 2,215,528.26
  5. Step 5: Solve for x
    x = 2,215,528.26/1,641.72
  6. Step 6: Final answer
    x = 1,349.52

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