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Finding the Fourth Proportional to 2,747.72, 4,122.12 and 1,016.36

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Solution

The fourth proportional to 2,747.72, 4,122.12 and 1,016.36 is: 1,524.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.72 : 4,122.12 = 1,016.36 : x
  2. Step 2: Convert to fraction form
    2,747.72/4,122.12 = 1,016.36/x
  3. Step 3: Cross multiply
    2,747.72x = 4,122.12 × 1,016.36
  4. Step 4: Simplify right side
    2,747.72x = 4,189,557.88
  5. Step 5: Solve for x
    x = 4,189,557.88/2,747.72
  6. Step 6: Final answer
    x = 1,524.74

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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.