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Finding the Fourth Proportional to 2,496, 3,446.73 and 1,613.37

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Solution

The fourth proportional to 2,496, 3,446.73 and 1,613.37 is: 2,227.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496 : 3,446.73 = 1,613.37 : x
  2. Step 2: Convert to fraction form
    2,496/3,446.73 = 1,613.37/x
  3. Step 3: Cross multiply
    2,496x = 3,446.73 × 1,613.37
  4. Step 4: Simplify right side
    2,496x = 5,560,850.78
  5. Step 5: Solve for x
    x = 5,560,850.78/2,496
  6. Step 6: Final answer
    x = 2,227.90

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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.