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Finding the Fourth Proportional to 2,635.49, 3,930.92 and 2,286.04

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Solution

The fourth proportional to 2,635.49, 3,930.92 and 2,286.04 is: 3,409.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.49 : 3,930.92 = 2,286.04 : x
  2. Step 2: Convert to fraction form
    2,635.49/3,930.92 = 2,286.04/x
  3. Step 3: Cross multiply
    2,635.49x = 3,930.92 × 2,286.04
  4. Step 4: Simplify right side
    2,635.49x = 8,986,254.59
  5. Step 5: Solve for x
    x = 8,986,254.59/2,635.49
  6. Step 6: Final answer
    x = 3,409.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.