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Finding the Fourth Proportional to 2,183.81, 3,273.67 and 951.95

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Solution

The fourth proportional to 2,183.81, 3,273.67 and 951.95 is: 1,427.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.81 : 3,273.67 = 951.95 : x
  2. Step 2: Convert to fraction form
    2,183.81/3,273.67 = 951.95/x
  3. Step 3: Cross multiply
    2,183.81x = 3,273.67 × 951.95
  4. Step 4: Simplify right side
    2,183.81x = 3,116,374.18
  5. Step 5: Solve for x
    x = 3,116,374.18/2,183.81
  6. Step 6: Final answer
    x = 1,427.03

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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.