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Finding the Fourth Proportional to 3,136.18, 4,703.90 and 827.86

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Solution

The fourth proportional to 3,136.18, 4,703.90 and 827.86 is: 1,241.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.18 : 4,703.90 = 827.86 : x
  2. Step 2: Convert to fraction form
    3,136.18/4,703.90 = 827.86/x
  3. Step 3: Cross multiply
    3,136.18x = 4,703.90 × 827.86
  4. Step 4: Simplify right side
    3,136.18x = 3,894,170.65
  5. Step 5: Solve for x
    x = 3,894,170.65/3,136.18
  6. Step 6: Final answer
    x = 1,241.69

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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.