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Finding the Fourth Proportional to 1,567.62, 2,163.69 and 978.05

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Solution

The fourth proportional to 1,567.62, 2,163.69 and 978.05 is: 1,349.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.62 : 2,163.69 = 978.05 : x
  2. Step 2: Convert to fraction form
    1,567.62/2,163.69 = 978.05/x
  3. Step 3: Cross multiply
    1,567.62x = 2,163.69 × 978.05
  4. Step 4: Simplify right side
    1,567.62x = 2,116,202.41
  5. Step 5: Solve for x
    x = 2,116,202.41/1,567.62
  6. Step 6: Final answer
    x = 1,349.95

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