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Finding the Fourth Proportional to 2,844.26, 4,266.80 and 895.80

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Solution

The fourth proportional to 2,844.26, 4,266.80 and 895.80 is: 1,343.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.26 : 4,266.80 = 895.80 : x
  2. Step 2: Convert to fraction form
    2,844.26/4,266.80 = 895.80/x
  3. Step 3: Cross multiply
    2,844.26x = 4,266.80 × 895.80
  4. Step 4: Simplify right side
    2,844.26x = 3,822,199.44
  5. Step 5: Solve for x
    x = 3,822,199.44/2,844.26
  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.