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Finding the Fourth Proportional to 2,305.76, 3,181.86 and 1,257.83

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Solution

The fourth proportional to 2,305.76, 3,181.86 and 1,257.83 is: 1,735.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.76 : 3,181.86 = 1,257.83 : x
  2. Step 2: Convert to fraction form
    2,305.76/3,181.86 = 1,257.83/x
  3. Step 3: Cross multiply
    2,305.76x = 3,181.86 × 1,257.83
  4. Step 4: Simplify right side
    2,305.76x = 4,002,238.96
  5. Step 5: Solve for x
    x = 4,002,238.96/2,305.76
  6. Step 6: Final answer
    x = 1,735.76

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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.