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Finding the Fourth Proportional to 1,821.85, 2,733.12 and 589.43

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Solution

The fourth proportional to 1,821.85, 2,733.12 and 589.43 is: 884.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.85 : 2,733.12 = 589.43 : x
  2. Step 2: Convert to fraction form
    1,821.85/2,733.12 = 589.43/x
  3. Step 3: Cross multiply
    1,821.85x = 2,733.12 × 589.43
  4. Step 4: Simplify right side
    1,821.85x = 1,610,989.75
  5. Step 5: Solve for x
    x = 1,610,989.75/1,821.85
  6. Step 6: Final answer
    x = 884.26

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