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Finding the Fourth Proportional to 2,305.23, 3,181.23 and 1,257.27

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Solution

The fourth proportional to 2,305.23, 3,181.23 and 1,257.27 is: 1,735.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.23 : 3,181.23 = 1,257.27 : x
  2. Step 2: Convert to fraction form
    2,305.23/3,181.23 = 1,257.27/x
  3. Step 3: Cross multiply
    2,305.23x = 3,181.23 × 1,257.27
  4. Step 4: Simplify right side
    2,305.23x = 3,999,665.04
  5. Step 5: Solve for x
    x = 3,999,665.04/2,305.23
  6. Step 6: Final answer
    x = 1,735.04

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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.