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Finding the Fourth Proportional to 3,104.69, 4,283.42 and 2,108.23

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Solution

The fourth proportional to 3,104.69, 4,283.42 and 2,108.23 is: 2,908.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.69 : 4,283.42 = 2,108.23 : x
  2. Step 2: Convert to fraction form
    3,104.69/4,283.42 = 2,108.23/x
  3. Step 3: Cross multiply
    3,104.69x = 4,283.42 × 2,108.23
  4. Step 4: Simplify right side
    3,104.69x = 9,030,449.25
  5. Step 5: Solve for x
    x = 9,030,449.25/3,104.69
  6. Step 6: Final answer
    x = 2,908.65

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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.