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Finding the Fourth Proportional to 2,731.96, 3,770.06 and 1,536.85

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Solution

The fourth proportional to 2,731.96, 3,770.06 and 1,536.85 is: 2,120.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.96 : 3,770.06 = 1,536.85 : x
  2. Step 2: Convert to fraction form
    2,731.96/3,770.06 = 1,536.85/x
  3. Step 3: Cross multiply
    2,731.96x = 3,770.06 × 1,536.85
  4. Step 4: Simplify right side
    2,731.96x = 5,794,029.98
  5. Step 5: Solve for x
    x = 5,794,029.98/2,731.96
  6. Step 6: Final answer
    x = 2,120.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.