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Finding the Fourth Proportional to 2,353.22, 3,529.83 and 1,199.78

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Solution

The fourth proportional to 2,353.22, 3,529.83 and 1,199.78 is: 1,799.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.22 : 3,529.83 = 1,199.78 : x
  2. Step 2: Convert to fraction form
    2,353.22/3,529.83 = 1,199.78/x
  3. Step 3: Cross multiply
    2,353.22x = 3,529.83 × 1,199.78
  4. Step 4: Simplify right side
    2,353.22x = 4,235,001.79
  5. Step 5: Solve for x
    x = 4,235,001.79/2,353.22
  6. Step 6: Final answer
    x = 1,799.67

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