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Finding the Fourth Proportional to 3,431.85, 5,147.73 and 834.78

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Solution

The fourth proportional to 3,431.85, 5,147.73 and 834.78 is: 1,252.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.85 : 5,147.73 = 834.78 : x
  2. Step 2: Convert to fraction form
    3,431.85/5,147.73 = 834.78/x
  3. Step 3: Cross multiply
    3,431.85x = 5,147.73 × 834.78
  4. Step 4: Simplify right side
    3,431.85x = 4,297,222.05
  5. Step 5: Solve for x
    x = 4,297,222.05/3,431.85
  6. Step 6: Final answer
    x = 1,252.16

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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.