Home / 3,282.45-4,528.97-2,006

Finding the Fourth Proportional to 3,282.45, 4,528.97 and 2,006

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Solution

The fourth proportional to 3,282.45, 4,528.97 and 2,006 is: 2,767.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.45 : 4,528.97 = 2,006 : x
  2. Step 2: Convert to fraction form
    3,282.45/4,528.97 = 2,006/x
  3. Step 3: Cross multiply
    3,282.45x = 4,528.97 × 2,006
  4. Step 4: Simplify right side
    3,282.45x = 9,085,113.82
  5. Step 5: Solve for x
    x = 9,085,113.82/3,282.45
  6. Step 6: Final answer
    x = 2,767.78

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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.