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Finding the Fourth Proportional to 2,827.43, 4,240.20 and 978.05

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Solution

The fourth proportional to 2,827.43, 4,240.20 and 978.05 is: 1,466.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.43 : 4,240.20 = 978.05 : x
  2. Step 2: Convert to fraction form
    2,827.43/4,240.20 = 978.05/x
  3. Step 3: Cross multiply
    2,827.43x = 4,240.20 × 978.05
  4. Step 4: Simplify right side
    2,827.43x = 4,147,112.53
  5. Step 5: Solve for x
    x = 4,147,112.53/2,827.43
  6. Step 6: Final answer
    x = 1,466.74

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