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Finding the Fourth Proportional to 2,723.67, 4,082.63 and 1,164.41

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Solution

The fourth proportional to 2,723.67, 4,082.63 and 1,164.41 is: 1,745.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.67 : 4,082.63 = 1,164.41 : x
  2. Step 2: Convert to fraction form
    2,723.67/4,082.63 = 1,164.41/x
  3. Step 3: Cross multiply
    2,723.67x = 4,082.63 × 1,164.41
  4. Step 4: Simplify right side
    2,723.67x = 4,753,828.96
  5. Step 5: Solve for x
    x = 4,753,828.96/2,723.67
  6. Step 6: Final answer
    x = 1,745.38

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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.