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Finding the Fourth Proportional to 3,105.77, 4,658.56 and 914.54

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Solution

The fourth proportional to 3,105.77, 4,658.56 and 914.54 is: 1,371.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.77 : 4,658.56 = 914.54 : x
  2. Step 2: Convert to fraction form
    3,105.77/4,658.56 = 914.54/x
  3. Step 3: Cross multiply
    3,105.77x = 4,658.56 × 914.54
  4. Step 4: Simplify right side
    3,105.77x = 4,260,439.46
  5. Step 5: Solve for x
    x = 4,260,439.46/3,105.77
  6. Step 6: Final answer
    x = 1,371.78

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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.