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Finding the Fourth Proportional to 2,827.40, 4,241.76 and 978.53

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Solution

The fourth proportional to 2,827.40, 4,241.76 and 978.53 is: 1,468.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.40 : 4,241.76 = 978.53 : x
  2. Step 2: Convert to fraction form
    2,827.40/4,241.76 = 978.53/x
  3. Step 3: Cross multiply
    2,827.40x = 4,241.76 × 978.53
  4. Step 4: Simplify right side
    2,827.40x = 4,150,668.20
  5. Step 5: Solve for x
    x = 4,150,668.20/2,827.40
  6. Step 6: Final answer
    x = 1,468.02

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