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Finding the Fourth Proportional to 2,305.77, 3,181.97 and 1,257.86

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Solution

The fourth proportional to 2,305.77, 3,181.97 and 1,257.86 is: 1,735.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.77 : 3,181.97 = 1,257.86 : x
  2. Step 2: Convert to fraction form
    2,305.77/3,181.97 = 1,257.86/x
  3. Step 3: Cross multiply
    2,305.77x = 3,181.97 × 1,257.86
  4. Step 4: Simplify right side
    2,305.77x = 4,002,460.02
  5. Step 5: Solve for x
    x = 4,002,460.02/2,305.77
  6. Step 6: Final answer
    x = 1,735.85

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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.