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Finding the Fourth Proportional to 3,305.06, 4,951.26 and 1,659.68

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Solution

The fourth proportional to 3,305.06, 4,951.26 and 1,659.68 is: 2,486.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.06 : 4,951.26 = 1,659.68 : x
  2. Step 2: Convert to fraction form
    3,305.06/4,951.26 = 1,659.68/x
  3. Step 3: Cross multiply
    3,305.06x = 4,951.26 × 1,659.68
  4. Step 4: Simplify right side
    3,305.06x = 8,217,507.20
  5. Step 5: Solve for x
    x = 8,217,507.20/3,305.06
  6. Step 6: Final answer
    x = 2,486.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.