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Finding the Fourth Proportional to 2,827.68, 4,240.56 and 978.74

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Solution

The fourth proportional to 2,827.68, 4,240.56 and 978.74 is: 1,467.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.68 : 4,240.56 = 978.74 : x
  2. Step 2: Convert to fraction form
    2,827.68/4,240.56 = 978.74/x
  3. Step 3: Cross multiply
    2,827.68x = 4,240.56 × 978.74
  4. Step 4: Simplify right side
    2,827.68x = 4,150,405.69
  5. Step 5: Solve for x
    x = 4,150,405.69/2,827.68
  6. Step 6: Final answer
    x = 1,467.78

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