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Finding the Fourth Proportional to 2,796.14, 4,190.96 and 2,472.14

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Solution

The fourth proportional to 2,796.14, 4,190.96 and 2,472.14 is: 3,705.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.14 : 4,190.96 = 2,472.14 : x
  2. Step 2: Convert to fraction form
    2,796.14/4,190.96 = 2,472.14/x
  3. Step 3: Cross multiply
    2,796.14x = 4,190.96 × 2,472.14
  4. Step 4: Simplify right side
    2,796.14x = 10,360,606.54
  5. Step 5: Solve for x
    x = 10,360,606.54/2,796.14
  6. Step 6: Final answer
    x = 3,705.33

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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.