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Finding the Fourth Proportional to 1,738.96, 2,604.66 and 1,006.72

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Solution

The fourth proportional to 1,738.96, 2,604.66 and 1,006.72 is: 1,507.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.96 : 2,604.66 = 1,006.72 : x
  2. Step 2: Convert to fraction form
    1,738.96/2,604.66 = 1,006.72/x
  3. Step 3: Cross multiply
    1,738.96x = 2,604.66 × 1,006.72
  4. Step 4: Simplify right side
    1,738.96x = 2,622,163.32
  5. Step 5: Solve for x
    x = 2,622,163.32/1,738.96
  6. Step 6: Final answer
    x = 1,507.89

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