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Finding the Fourth Proportional to 1,786.34, 2,674.65 and 1,202.27

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Solution

The fourth proportional to 1,786.34, 2,674.65 and 1,202.27 is: 1,800.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.34 : 2,674.65 = 1,202.27 : x
  2. Step 2: Convert to fraction form
    1,786.34/2,674.65 = 1,202.27/x
  3. Step 3: Cross multiply
    1,786.34x = 2,674.65 × 1,202.27
  4. Step 4: Simplify right side
    1,786.34x = 3,215,651.46
  5. Step 5: Solve for x
    x = 3,215,651.46/1,786.34
  6. Step 6: Final answer
    x = 1,800.13

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