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Finding the Fourth Proportional to 2,006.86, 3,008.44 and 895.69

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Solution

The fourth proportional to 2,006.86, 3,008.44 and 895.69 is: 1,342.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.86 : 3,008.44 = 895.69 : x
  2. Step 2: Convert to fraction form
    2,006.86/3,008.44 = 895.69/x
  3. Step 3: Cross multiply
    2,006.86x = 3,008.44 × 895.69
  4. Step 4: Simplify right side
    2,006.86x = 2,694,629.62
  5. Step 5: Solve for x
    x = 2,694,629.62/2,006.86
  6. Step 6: Final answer
    x = 1,342.71

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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.