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Finding the Fourth Proportional to 2,676.60, 4,015.20 and 827.70

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Solution

The fourth proportional to 2,676.60, 4,015.20 and 827.70 is: 1,241.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.60 : 4,015.20 = 827.70 : x
  2. Step 2: Convert to fraction form
    2,676.60/4,015.20 = 827.70/x
  3. Step 3: Cross multiply
    2,676.60x = 4,015.20 × 827.70
  4. Step 4: Simplify right side
    2,676.60x = 3,323,381.04
  5. Step 5: Solve for x
    x = 3,323,381.04/2,676.60
  6. Step 6: Final answer
    x = 1,241.64

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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.