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Finding the Fourth Proportional to 2,571.96, 3,855.76 and 1,091.12

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Solution

The fourth proportional to 2,571.96, 3,855.76 and 1,091.12 is: 1,635.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.96 : 3,855.76 = 1,091.12 : x
  2. Step 2: Convert to fraction form
    2,571.96/3,855.76 = 1,091.12/x
  3. Step 3: Cross multiply
    2,571.96x = 3,855.76 × 1,091.12
  4. Step 4: Simplify right side
    2,571.96x = 4,207,096.85
  5. Step 5: Solve for x
    x = 4,207,096.85/2,571.96
  6. Step 6: Final answer
    x = 1,635.76

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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.