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Finding the Fourth Proportional to 2,745.96, 4,092.85 and 2,655.96

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Solution

The fourth proportional to 2,745.96, 4,092.85 and 2,655.96 is: 3,958.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.96 : 4,092.85 = 2,655.96 : x
  2. Step 2: Convert to fraction form
    2,745.96/4,092.85 = 2,655.96/x
  3. Step 3: Cross multiply
    2,745.96x = 4,092.85 × 2,655.96
  4. Step 4: Simplify right side
    2,745.96x = 10,870,445.89
  5. Step 5: Solve for x
    x = 10,870,445.89/2,745.96
  6. Step 6: Final answer
    x = 3,958.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.