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Finding the Fourth Proportional to 2,006.46, 3,007.87 and 774.79

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Solution

The fourth proportional to 2,006.46, 3,007.87 and 774.79 is: 1,161.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.46 : 3,007.87 = 774.79 : x
  2. Step 2: Convert to fraction form
    2,006.46/3,007.87 = 774.79/x
  3. Step 3: Cross multiply
    2,006.46x = 3,007.87 × 774.79
  4. Step 4: Simplify right side
    2,006.46x = 2,330,464.97
  5. Step 5: Solve for x
    x = 2,330,464.97/2,006.46
  6. Step 6: Final answer
    x = 1,161.48

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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.