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Finding the Fourth Proportional to 2,006.28, 3,007.11 and 773.07

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Solution

The fourth proportional to 2,006.28, 3,007.11 and 773.07 is: 1,158.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.28 : 3,007.11 = 773.07 : x
  2. Step 2: Convert to fraction form
    2,006.28/3,007.11 = 773.07/x
  3. Step 3: Cross multiply
    2,006.28x = 3,007.11 × 773.07
  4. Step 4: Simplify right side
    2,006.28x = 2,324,706.53
  5. Step 5: Solve for x
    x = 2,324,706.53/2,006.28
  6. Step 6: Final answer
    x = 1,158.71

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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.