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Finding the Fourth Proportional to 3,105.96, 4,659.76 and 1,806.32

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Solution

The fourth proportional to 3,105.96, 4,659.76 and 1,806.32 is: 2,709.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.96 : 4,659.76 = 1,806.32 : x
  2. Step 2: Convert to fraction form
    3,105.96/4,659.76 = 1,806.32/x
  3. Step 3: Cross multiply
    3,105.96x = 4,659.76 × 1,806.32
  4. Step 4: Simplify right side
    3,105.96x = 8,417,017.68
  5. Step 5: Solve for x
    x = 8,417,017.68/3,105.96
  6. Step 6: Final answer
    x = 2,709.96

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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.