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Finding the Fourth Proportional to 1,978.34, 2,966.04 and 1,198.17

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Solution

The fourth proportional to 1,978.34, 2,966.04 and 1,198.17 is: 1,796.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.34 : 2,966.04 = 1,198.17 : x
  2. Step 2: Convert to fraction form
    1,978.34/2,966.04 = 1,198.17/x
  3. Step 3: Cross multiply
    1,978.34x = 2,966.04 × 1,198.17
  4. Step 4: Simplify right side
    1,978.34x = 3,553,820.15
  5. Step 5: Solve for x
    x = 3,553,820.15/1,978.34
  6. Step 6: Final answer
    x = 1,796.37

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