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Finding the Fourth Proportional to 2,206.76, 3,310.30 and 908.52

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Solution

The fourth proportional to 2,206.76, 3,310.30 and 908.52 is: 1,362.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.76 : 3,310.30 = 908.52 : x
  2. Step 2: Convert to fraction form
    2,206.76/3,310.30 = 908.52/x
  3. Step 3: Cross multiply
    2,206.76x = 3,310.30 × 908.52
  4. Step 4: Simplify right side
    2,206.76x = 3,007,473.76
  5. Step 5: Solve for x
    x = 3,007,473.76/2,206.76
  6. Step 6: Final answer
    x = 1,362.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.