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Finding the Fourth Proportional to 2,676.85, 4,014.90 and 827.44

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Solution

The fourth proportional to 2,676.85, 4,014.90 and 827.44 is: 1,241.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.85 : 4,014.90 = 827.44 : x
  2. Step 2: Convert to fraction form
    2,676.85/4,014.90 = 827.44/x
  3. Step 3: Cross multiply
    2,676.85x = 4,014.90 × 827.44
  4. Step 4: Simplify right side
    2,676.85x = 3,322,088.86
  5. Step 5: Solve for x
    x = 3,322,088.86/2,676.85
  6. Step 6: Final answer
    x = 1,241.04

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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.