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Finding the Fourth Proportional to 3,082.77, 4,249.13 and 2,296.53

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Solution

The fourth proportional to 3,082.77, 4,249.13 and 2,296.53 is: 3,165.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.77 : 4,249.13 = 2,296.53 : x
  2. Step 2: Convert to fraction form
    3,082.77/4,249.13 = 2,296.53/x
  3. Step 3: Cross multiply
    3,082.77x = 4,249.13 × 2,296.53
  4. Step 4: Simplify right side
    3,082.77x = 9,758,243.04
  5. Step 5: Solve for x
    x = 9,758,243.04/3,082.77
  6. Step 6: Final answer
    x = 3,165.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.