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Finding the Fourth Proportional to 2,723.76, 3,758.52 and 1,604.29

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Solution

The fourth proportional to 2,723.76, 3,758.52 and 1,604.29 is: 2,213.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.76 : 3,758.52 = 1,604.29 : x
  2. Step 2: Convert to fraction form
    2,723.76/3,758.52 = 1,604.29/x
  3. Step 3: Cross multiply
    2,723.76x = 3,758.52 × 1,604.29
  4. Step 4: Simplify right side
    2,723.76x = 6,029,750.69
  5. Step 5: Solve for x
    x = 6,029,750.69/2,723.76
  6. Step 6: Final answer
    x = 2,213.76

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