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Finding the Fourth Proportional to 3,167.58, 4,751.43 and 827.44

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Solution

The fourth proportional to 3,167.58, 4,751.43 and 827.44 is: 1,241.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.58 : 4,751.43 = 827.44 : x
  2. Step 2: Convert to fraction form
    3,167.58/4,751.43 = 827.44/x
  3. Step 3: Cross multiply
    3,167.58x = 4,751.43 × 827.44
  4. Step 4: Simplify right side
    3,167.58x = 3,931,523.24
  5. Step 5: Solve for x
    x = 3,931,523.24/3,167.58
  6. Step 6: Final answer
    x = 1,241.18

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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.