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Finding the Fourth Proportional to 1,738.28, 2,605.98 and 1,216.80

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Solution

The fourth proportional to 1,738.28, 2,605.98 and 1,216.80 is: 1,824.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.28 : 2,605.98 = 1,216.80 : x
  2. Step 2: Convert to fraction form
    1,738.28/2,605.98 = 1,216.80/x
  3. Step 3: Cross multiply
    1,738.28x = 2,605.98 × 1,216.80
  4. Step 4: Simplify right side
    1,738.28x = 3,170,956.46
  5. Step 5: Solve for x
    x = 3,170,956.46/1,738.28
  6. Step 6: Final answer
    x = 1,824.19

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