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Finding the Fourth Proportional to 2,771.34, 4,157.22 and 1,016.82

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Solution

The fourth proportional to 2,771.34, 4,157.22 and 1,016.82 is: 1,525.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.34 : 4,157.22 = 1,016.82 : x
  2. Step 2: Convert to fraction form
    2,771.34/4,157.22 = 1,016.82/x
  3. Step 3: Cross multiply
    2,771.34x = 4,157.22 × 1,016.82
  4. Step 4: Simplify right side
    2,771.34x = 4,227,144.44
  5. Step 5: Solve for x
    x = 4,227,144.44/2,771.34
  6. Step 6: Final answer
    x = 1,525.31

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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.