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Finding the Fourth Proportional to 3,183.88, 4,771.32 and 1,333.84

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Solution

The fourth proportional to 3,183.88, 4,771.32 and 1,333.84 is: 1,998.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.88 : 4,771.32 = 1,333.84 : x
  2. Step 2: Convert to fraction form
    3,183.88/4,771.32 = 1,333.84/x
  3. Step 3: Cross multiply
    3,183.88x = 4,771.32 × 1,333.84
  4. Step 4: Simplify right side
    3,183.88x = 6,364,177.47
  5. Step 5: Solve for x
    x = 6,364,177.47/3,183.88
  6. Step 6: Final answer
    x = 1,998.87

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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.