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Finding the Fourth Proportional to 2,665.56, 3,998.67 and 1,431.28

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Solution

The fourth proportional to 2,665.56, 3,998.67 and 1,431.28 is: 2,147.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.56 : 3,998.67 = 1,431.28 : x
  2. Step 2: Convert to fraction form
    2,665.56/3,998.67 = 1,431.28/x
  3. Step 3: Cross multiply
    2,665.56x = 3,998.67 × 1,431.28
  4. Step 4: Simplify right side
    2,665.56x = 5,723,189.25
  5. Step 5: Solve for x
    x = 5,723,189.25/2,665.56
  6. Step 6: Final answer
    x = 2,147.09

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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.