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Finding the Fourth Proportional to 2,636.64, 3,934.49 and 2,286.72

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Solution

The fourth proportional to 2,636.64, 3,934.49 and 2,286.72 is: 3,412.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.64 : 3,934.49 = 2,286.72 : x
  2. Step 2: Convert to fraction form
    2,636.64/3,934.49 = 2,286.72/x
  3. Step 3: Cross multiply
    2,636.64x = 3,934.49 × 2,286.72
  4. Step 4: Simplify right side
    2,636.64x = 8,997,076.97
  5. Step 5: Solve for x
    x = 8,997,076.97/2,636.64
  6. Step 6: Final answer
    x = 3,412.33

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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.