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Finding the Fourth Proportional to 1,974.82, 2,962.92 and 1,319.32

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Solution

The fourth proportional to 1,974.82, 2,962.92 and 1,319.32 is: 1,979.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.82 : 2,962.92 = 1,319.32 : x
  2. Step 2: Convert to fraction form
    1,974.82/2,962.92 = 1,319.32/x
  3. Step 3: Cross multiply
    1,974.82x = 2,962.92 × 1,319.32
  4. Step 4: Simplify right side
    1,974.82x = 3,909,039.61
  5. Step 5: Solve for x
    x = 3,909,039.61/1,974.82
  6. Step 6: Final answer
    x = 1,979.44

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