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Finding the Fourth Proportional to 2,305.19, 3,181.10 and 1,257.24

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Solution

The fourth proportional to 2,305.19, 3,181.10 and 1,257.24 is: 1,734.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.19 : 3,181.10 = 1,257.24 : x
  2. Step 2: Convert to fraction form
    2,305.19/3,181.10 = 1,257.24/x
  3. Step 3: Cross multiply
    2,305.19x = 3,181.10 × 1,257.24
  4. Step 4: Simplify right side
    2,305.19x = 3,999,399.88
  5. Step 5: Solve for x
    x = 3,999,399.88/2,305.19
  6. Step 6: Final answer
    x = 1,734.96

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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.