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Finding the Fourth Proportional to 1,822.78, 2,734.43 and 589.78

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Solution

The fourth proportional to 1,822.78, 2,734.43 and 589.78 is: 884.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.78 : 2,734.43 = 589.78 : x
  2. Step 2: Convert to fraction form
    1,822.78/2,734.43 = 589.78/x
  3. Step 3: Cross multiply
    1,822.78x = 2,734.43 × 589.78
  4. Step 4: Simplify right side
    1,822.78x = 1,612,712.13
  5. Step 5: Solve for x
    x = 1,612,712.13/1,822.78
  6. Step 6: Final answer
    x = 884.75

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