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Finding the Fourth Proportional to 3,185.69, 4,778.24 and 1,105.37

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Solution

The fourth proportional to 3,185.69, 4,778.24 and 1,105.37 is: 1,657.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.69 : 4,778.24 = 1,105.37 : x
  2. Step 2: Convert to fraction form
    3,185.69/4,778.24 = 1,105.37/x
  3. Step 3: Cross multiply
    3,185.69x = 4,778.24 × 1,105.37
  4. Step 4: Simplify right side
    3,185.69x = 5,281,717.62
  5. Step 5: Solve for x
    x = 5,281,717.62/3,185.69
  6. Step 6: Final answer
    x = 1,657.95

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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.