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Finding the Fourth Proportional to 3,104.82, 4,285.18 and 2,109.42

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Solution

The fourth proportional to 3,104.82, 4,285.18 and 2,109.42 is: 2,911.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.82 : 4,285.18 = 2,109.42 : x
  2. Step 2: Convert to fraction form
    3,104.82/4,285.18 = 2,109.42/x
  3. Step 3: Cross multiply
    3,104.82x = 4,285.18 × 2,109.42
  4. Step 4: Simplify right side
    3,104.82x = 9,039,244.40
  5. Step 5: Solve for x
    x = 9,039,244.40/3,104.82
  6. Step 6: Final answer
    x = 2,911.36

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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.