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Finding the Fourth Proportional to 2,305.76, 3,181.92 and 1,257.88

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Solution

The fourth proportional to 2,305.76, 3,181.92 and 1,257.88 is: 1,735.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.76 : 3,181.92 = 1,257.88 : x
  2. Step 2: Convert to fraction form
    2,305.76/3,181.92 = 1,257.88/x
  3. Step 3: Cross multiply
    2,305.76x = 3,181.92 × 1,257.88
  4. Step 4: Simplify right side
    2,305.76x = 4,002,473.53
  5. Step 5: Solve for x
    x = 4,002,473.53/2,305.76
  6. Step 6: Final answer
    x = 1,735.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.