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Finding the Fourth Proportional to 3,105.32, 4,658.40 and 913.73

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Solution

The fourth proportional to 3,105.32, 4,658.40 and 913.73 is: 1,370.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.32 : 4,658.40 = 913.73 : x
  2. Step 2: Convert to fraction form
    3,105.32/4,658.40 = 913.73/x
  3. Step 3: Cross multiply
    3,105.32x = 4,658.40 × 913.73
  4. Step 4: Simplify right side
    3,105.32x = 4,256,496.54
  5. Step 5: Solve for x
    x = 4,256,496.54/3,105.32
  6. Step 6: Final answer
    x = 1,370.71

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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.