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Finding the Fourth Proportional to 1,402.04, 2,098.20 and 854.48

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Solution

The fourth proportional to 1,402.04, 2,098.20 and 854.48 is: 1,278.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.04 : 2,098.20 = 854.48 : x
  2. Step 2: Convert to fraction form
    1,402.04/2,098.20 = 854.48/x
  3. Step 3: Cross multiply
    1,402.04x = 2,098.20 × 854.48
  4. Step 4: Simplify right side
    1,402.04x = 1,792,869.94
  5. Step 5: Solve for x
    x = 1,792,869.94/1,402.04
  6. Step 6: Final answer
    x = 1,278.76

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