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Finding the Fourth Proportional to 3,105.72, 4,284.18 and 1,926.54

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Solution

The fourth proportional to 3,105.72, 4,284.18 and 1,926.54 is: 2,657.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.72 : 4,284.18 = 1,926.54 : x
  2. Step 2: Convert to fraction form
    3,105.72/4,284.18 = 1,926.54/x
  3. Step 3: Cross multiply
    3,105.72x = 4,284.18 × 1,926.54
  4. Step 4: Simplify right side
    3,105.72x = 8,253,644.14
  5. Step 5: Solve for x
    x = 8,253,644.14/3,105.72
  6. Step 6: Final answer
    x = 2,657.56

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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.