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Finding the Fourth Proportional to 1,738.36, 2,604.50 and 1,447.73

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Solution

The fourth proportional to 1,738.36, 2,604.50 and 1,447.73 is: 2,169.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.36 : 2,604.50 = 1,447.73 : x
  2. Step 2: Convert to fraction form
    1,738.36/2,604.50 = 1,447.73/x
  3. Step 3: Cross multiply
    1,738.36x = 2,604.50 × 1,447.73
  4. Step 4: Simplify right side
    1,738.36x = 3,770,612.79
  5. Step 5: Solve for x
    x = 3,770,612.79/1,738.36
  6. Step 6: Final answer
    x = 2,169.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.