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Finding the Fourth Proportional to 1,608.80, 2,411.37 and 1,218.78

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Solution

The fourth proportional to 1,608.80, 2,411.37 and 1,218.78 is: 1,826.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.80 : 2,411.37 = 1,218.78 : x
  2. Step 2: Convert to fraction form
    1,608.80/2,411.37 = 1,218.78/x
  3. Step 3: Cross multiply
    1,608.80x = 2,411.37 × 1,218.78
  4. Step 4: Simplify right side
    1,608.80x = 2,938,929.53
  5. Step 5: Solve for x
    x = 2,938,929.53/1,608.80
  6. Step 6: Final answer
    x = 1,826.79

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