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Finding the Fourth Proportional to 3,105.69, 4,284.80 and 2,109.23

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Solution

The fourth proportional to 3,105.69, 4,284.80 and 2,109.23 is: 2,910.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.69 : 4,284.80 = 2,109.23 : x
  2. Step 2: Convert to fraction form
    3,105.69/4,284.80 = 2,109.23/x
  3. Step 3: Cross multiply
    3,105.69x = 4,284.80 × 2,109.23
  4. Step 4: Simplify right side
    3,105.69x = 9,037,628.70
  5. Step 5: Solve for x
    x = 9,037,628.70/3,105.69
  6. Step 6: Final answer
    x = 2,910.02

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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.