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Finding the Fourth Proportional to 1,922.56, 2,863.43 and 1,802.68

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Solution

The fourth proportional to 1,922.56, 2,863.43 and 1,802.68 is: 2,684.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.56 : 2,863.43 = 1,802.68 : x
  2. Step 2: Convert to fraction form
    1,922.56/2,863.43 = 1,802.68/x
  3. Step 3: Cross multiply
    1,922.56x = 2,863.43 × 1,802.68
  4. Step 4: Simplify right side
    1,922.56x = 5,161,847.99
  5. Step 5: Solve for x
    x = 5,161,847.99/1,922.56
  6. Step 6: Final answer
    x = 2,684.88

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