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Finding the Fourth Proportional to 2,054.85, 3,082.11 and 1,231.29

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Solution

The fourth proportional to 2,054.85, 3,082.11 and 1,231.29 is: 1,846.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.85 : 3,082.11 = 1,231.29 : x
  2. Step 2: Convert to fraction form
    2,054.85/3,082.11 = 1,231.29/x
  3. Step 3: Cross multiply
    2,054.85x = 3,082.11 × 1,231.29
  4. Step 4: Simplify right side
    2,054.85x = 3,794,971.22
  5. Step 5: Solve for x
    x = 3,794,971.22/2,054.85
  6. Step 6: Final answer
    x = 1,846.84

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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.