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Finding the Fourth Proportional to 3,183.70, 4,773.81 and 1,704.66

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Solution

The fourth proportional to 3,183.70, 4,773.81 and 1,704.66 is: 2,556.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.70 : 4,773.81 = 1,704.66 : x
  2. Step 2: Convert to fraction form
    3,183.70/4,773.81 = 1,704.66/x
  3. Step 3: Cross multiply
    3,183.70x = 4,773.81 × 1,704.66
  4. Step 4: Simplify right side
    3,183.70x = 8,137,722.95
  5. Step 5: Solve for x
    x = 8,137,722.95/3,183.70
  6. Step 6: Final answer
    x = 2,556.06

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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.