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Finding the Fourth Proportional to 1,978.24, 2,967.37 and 807.52

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Solution

The fourth proportional to 1,978.24, 2,967.37 and 807.52 is: 1,211.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.24 : 2,967.37 = 807.52 : x
  2. Step 2: Convert to fraction form
    1,978.24/2,967.37 = 807.52/x
  3. Step 3: Cross multiply
    1,978.24x = 2,967.37 × 807.52
  4. Step 4: Simplify right side
    1,978.24x = 2,396,210.62
  5. Step 5: Solve for x
    x = 2,396,210.62/1,978.24
  6. Step 6: Final answer
    x = 1,211.28

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