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Finding the Fourth Proportional to 1,998.78, 2,758.77 and 1,298.94

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Solution

The fourth proportional to 1,998.78, 2,758.77 and 1,298.94 is: 1,792.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.78 : 2,758.77 = 1,298.94 : x
  2. Step 2: Convert to fraction form
    1,998.78/2,758.77 = 1,298.94/x
  3. Step 3: Cross multiply
    1,998.78x = 2,758.77 × 1,298.94
  4. Step 4: Simplify right side
    1,998.78x = 3,583,476.70
  5. Step 5: Solve for x
    x = 3,583,476.70/1,998.78
  6. Step 6: Final answer
    x = 1,792.83

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