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Finding the Fourth Proportional to 2,676.44, 4,014.73 and 827.55

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Solution

The fourth proportional to 2,676.44, 4,014.73 and 827.55 is: 1,241.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.44 : 4,014.73 = 827.55 : x
  2. Step 2: Convert to fraction form
    2,676.44/4,014.73 = 827.55/x
  3. Step 3: Cross multiply
    2,676.44x = 4,014.73 × 827.55
  4. Step 4: Simplify right side
    2,676.44x = 3,322,390.85
  5. Step 5: Solve for x
    x = 3,322,390.85/2,676.44
  6. Step 6: Final answer
    x = 1,241.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.