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Finding the Fourth Proportional to 2,471.21, 3,409.53 and 2,234.42

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Solution

The fourth proportional to 2,471.21, 3,409.53 and 2,234.42 is: 3,082.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.21 : 3,409.53 = 2,234.42 : x
  2. Step 2: Convert to fraction form
    2,471.21/3,409.53 = 2,234.42/x
  3. Step 3: Cross multiply
    2,471.21x = 3,409.53 × 2,234.42
  4. Step 4: Simplify right side
    2,471.21x = 7,618,309.38
  5. Step 5: Solve for x
    x = 7,618,309.38/2,471.21
  6. Step 6: Final answer
    x = 3,082.83

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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.