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Finding the Fourth Proportional to 2,727.41, 3,765.96 and 2,096.96

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Solution

The fourth proportional to 2,727.41, 3,765.96 and 2,096.96 is: 2,895.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.41 : 3,765.96 = 2,096.96 : x
  2. Step 2: Convert to fraction form
    2,727.41/3,765.96 = 2,096.96/x
  3. Step 3: Cross multiply
    2,727.41x = 3,765.96 × 2,096.96
  4. Step 4: Simplify right side
    2,727.41x = 7,897,048.65
  5. Step 5: Solve for x
    x = 7,897,048.65/2,727.41
  6. Step 6: Final answer
    x = 2,895.44

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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.