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Finding the Fourth Proportional to 2,206.98, 3,310.47 and 908.46

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Solution

The fourth proportional to 2,206.98, 3,310.47 and 908.46 is: 1,362.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.98 : 3,310.47 = 908.46 : x
  2. Step 2: Convert to fraction form
    2,206.98/3,310.47 = 908.46/x
  3. Step 3: Cross multiply
    2,206.98x = 3,310.47 × 908.46
  4. Step 4: Simplify right side
    2,206.98x = 3,007,429.58
  5. Step 5: Solve for x
    x = 3,007,429.58/2,206.98
  6. Step 6: Final answer
    x = 1,362.69

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1.5x scale

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.