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Finding the Fourth Proportional to 2,843.75, 4,265.22 and 895.97

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Solution

The fourth proportional to 2,843.75, 4,265.22 and 895.97 is: 1,343.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.75 : 4,265.22 = 895.97 : x
  2. Step 2: Convert to fraction form
    2,843.75/4,265.22 = 895.97/x
  3. Step 3: Cross multiply
    2,843.75x = 4,265.22 × 895.97
  4. Step 4: Simplify right side
    2,843.75x = 3,821,509.16
  5. Step 5: Solve for x
    x = 3,821,509.16/2,843.75
  6. Step 6: Final answer
    x = 1,343.83

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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.