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Finding the Fourth Proportional to 1,641.06, 2,264.76 and 978.08

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Solution

The fourth proportional to 1,641.06, 2,264.76 and 978.08 is: 1,349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.06 : 2,264.76 = 978.08 : x
  2. Step 2: Convert to fraction form
    1,641.06/2,264.76 = 978.08/x
  3. Step 3: Cross multiply
    1,641.06x = 2,264.76 × 978.08
  4. Step 4: Simplify right side
    1,641.06x = 2,215,105.14
  5. Step 5: Solve for x
    x = 2,215,105.14/1,641.06
  6. Step 6: Final answer
    x = 1,349.80

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