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Finding the Fourth Proportional to 2,676.14, 4,014.81 and 827.19

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Solution

The fourth proportional to 2,676.14, 4,014.81 and 827.19 is: 1,240.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.14 : 4,014.81 = 827.19 : x
  2. Step 2: Convert to fraction form
    2,676.14/4,014.81 = 827.19/x
  3. Step 3: Cross multiply
    2,676.14x = 4,014.81 × 827.19
  4. Step 4: Simplify right side
    2,676.14x = 3,321,010.68
  5. Step 5: Solve for x
    x = 3,321,010.68/2,676.14
  6. Step 6: Final answer
    x = 1,240.97

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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.