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Finding the Fourth Proportional to 2,183.56, 3,292.48 and 2,002.12

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Solution

The fourth proportional to 2,183.56, 3,292.48 and 2,002.12 is: 3,018.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.56 : 3,292.48 = 2,002.12 : x
  2. Step 2: Convert to fraction form
    2,183.56/3,292.48 = 2,002.12/x
  3. Step 3: Cross multiply
    2,183.56x = 3,292.48 × 2,002.12
  4. Step 4: Simplify right side
    2,183.56x = 6,591,940.06
  5. Step 5: Solve for x
    x = 6,591,940.06/2,183.56
  6. Step 6: Final answer
    x = 3,018.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.