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Finding the Fourth Proportional to 1,298.58, 1,936.98 and 1,192.44

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Solution

The fourth proportional to 1,298.58, 1,936.98 and 1,192.44 is: 1,778.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.58 : 1,936.98 = 1,192.44 : x
  2. Step 2: Convert to fraction form
    1,298.58/1,936.98 = 1,192.44/x
  3. Step 3: Cross multiply
    1,298.58x = 1,936.98 × 1,192.44
  4. Step 4: Simplify right side
    1,298.58x = 2,309,732.43
  5. Step 5: Solve for x
    x = 2,309,732.43/1,298.58
  6. Step 6: Final answer
    x = 1,778.66

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