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Finding the Fourth Proportional to 3,183.52, 4,770.01 and 1,234.66

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Solution

The fourth proportional to 3,183.52, 4,770.01 and 1,234.66 is: 1,849.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.52 : 4,770.01 = 1,234.66 : x
  2. Step 2: Convert to fraction form
    3,183.52/4,770.01 = 1,234.66/x
  3. Step 3: Cross multiply
    3,183.52x = 4,770.01 × 1,234.66
  4. Step 4: Simplify right side
    3,183.52x = 5,889,340.55
  5. Step 5: Solve for x
    x = 5,889,340.55/3,183.52
  6. Step 6: Final answer
    x = 1,849.95

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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.