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Finding the Fourth Proportional to 3,209.80, 4,429.82 and 2,015.64

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Solution

The fourth proportional to 3,209.80, 4,429.82 and 2,015.64 is: 2,781.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.80 : 4,429.82 = 2,015.64 : x
  2. Step 2: Convert to fraction form
    3,209.80/4,429.82 = 2,015.64/x
  3. Step 3: Cross multiply
    3,209.80x = 4,429.82 × 2,015.64
  4. Step 4: Simplify right side
    3,209.80x = 8,928,922.38
  5. Step 5: Solve for x
    x = 8,928,922.38/3,209.80
  6. Step 6: Final answer
    x = 2,781.77

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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.