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Finding the Fourth Proportional to 2,207.75, 3,311.63 and 908.31

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Solution

The fourth proportional to 2,207.75, 3,311.63 and 908.31 is: 1,362.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.75 : 3,311.63 = 908.31 : x
  2. Step 2: Convert to fraction form
    2,207.75/3,311.63 = 908.31/x
  3. Step 3: Cross multiply
    2,207.75x = 3,311.63 × 908.31
  4. Step 4: Simplify right side
    2,207.75x = 3,007,982.10
  5. Step 5: Solve for x
    x = 3,007,982.10/2,207.75
  6. Step 6: Final answer
    x = 1,362.47

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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.