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Finding the Fourth Proportional to 3,082.61, 4,617.46 and 2,249.12

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Solution

The fourth proportional to 3,082.61, 4,617.46 and 2,249.12 is: 3,368.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.61 : 4,617.46 = 2,249.12 : x
  2. Step 2: Convert to fraction form
    3,082.61/4,617.46 = 2,249.12/x
  3. Step 3: Cross multiply
    3,082.61x = 4,617.46 × 2,249.12
  4. Step 4: Simplify right side
    3,082.61x = 10,385,197.37
  5. Step 5: Solve for x
    x = 10,385,197.37/3,082.61
  6. Step 6: Final answer
    x = 3,368.97

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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.