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Finding the Fourth Proportional to 3,261.92, 4,499.22 and 2,082.46

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Solution

The fourth proportional to 3,261.92, 4,499.22 and 2,082.46 is: 2,872.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.92 : 4,499.22 = 2,082.46 : x
  2. Step 2: Convert to fraction form
    3,261.92/4,499.22 = 2,082.46/x
  3. Step 3: Cross multiply
    3,261.92x = 4,499.22 × 2,082.46
  4. Step 4: Simplify right side
    3,261.92x = 9,369,444.82
  5. Step 5: Solve for x
    x = 9,369,444.82/3,261.92
  6. Step 6: Final answer
    x = 2,872.37

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Why These Related Problems?

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