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Finding the Fourth Proportional to 3,167.68, 4,751.52 and 827.49

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Solution

The fourth proportional to 3,167.68, 4,751.52 and 827.49 is: 1,241.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.68 : 4,751.52 = 827.49 : x
  2. Step 2: Convert to fraction form
    3,167.68/4,751.52 = 827.49/x
  3. Step 3: Cross multiply
    3,167.68x = 4,751.52 × 827.49
  4. Step 4: Simplify right side
    3,167.68x = 3,931,835.28
  5. Step 5: Solve for x
    x = 3,931,835.28/3,167.68
  6. Step 6: Final answer
    x = 1,241.24

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Similar ratio
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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.