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Finding the Fourth Proportional to 3,105.09, 4,656.96 and 1,255.68

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Solution

The fourth proportional to 3,105.09, 4,656.96 and 1,255.68 is: 1,883.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.09 : 4,656.96 = 1,255.68 : x
  2. Step 2: Convert to fraction form
    3,105.09/4,656.96 = 1,255.68/x
  3. Step 3: Cross multiply
    3,105.09x = 4,656.96 × 1,255.68
  4. Step 4: Simplify right side
    3,105.09x = 5,847,651.53
  5. Step 5: Solve for x
    x = 5,847,651.53/3,105.09
  6. Step 6: Final answer
    x = 1,883.25

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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.