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Finding the Fourth Proportional to 1,978.11, 2,967.41 and 728.78

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Solution

The fourth proportional to 1,978.11, 2,967.41 and 728.78 is: 1,093.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.11 : 2,967.41 = 728.78 : x
  2. Step 2: Convert to fraction form
    1,978.11/2,967.41 = 728.78/x
  3. Step 3: Cross multiply
    1,978.11x = 2,967.41 × 728.78
  4. Step 4: Simplify right side
    1,978.11x = 2,162,598.30
  5. Step 5: Solve for x
    x = 2,162,598.30/1,978.11
  6. Step 6: Final answer
    x = 1,093.27

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