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Finding the Fourth Proportional to 2,742.73, 4,114.00 and 1,098.83

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Solution

The fourth proportional to 2,742.73, 4,114.00 and 1,098.83 is: 1,648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.73 : 4,114.00 = 1,098.83 : x
  2. Step 2: Convert to fraction form
    2,742.73/4,114.00 = 1,098.83/x
  3. Step 3: Cross multiply
    2,742.73x = 4,114.00 × 1,098.83
  4. Step 4: Simplify right side
    2,742.73x = 4,520,581.13
  5. Step 5: Solve for x
    x = 4,520,581.13/2,742.73
  6. Step 6: Final answer
    x = 1,648.21

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