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Finding the Fourth Proportional to 3,105.88, 4,286.14 and 1,689.57

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Solution

The fourth proportional to 3,105.88, 4,286.14 and 1,689.57 is: 2,331.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.88 : 4,286.14 = 1,689.57 : x
  2. Step 2: Convert to fraction form
    3,105.88/4,286.14 = 1,689.57/x
  3. Step 3: Cross multiply
    3,105.88x = 4,286.14 × 1,689.57
  4. Step 4: Simplify right side
    3,105.88x = 7,241,740.12
  5. Step 5: Solve for x
    x = 7,241,740.12/3,105.88
  6. Step 6: Final answer
    x = 2,331.62

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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.