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Finding the Fourth Proportional to 3,105.81, 4,286.10 and 1,689.58

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Solution

The fourth proportional to 3,105.81, 4,286.10 and 1,689.58 is: 2,331.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.81 : 4,286.10 = 1,689.58 : x
  2. Step 2: Convert to fraction form
    3,105.81/4,286.10 = 1,689.58/x
  3. Step 3: Cross multiply
    3,105.81x = 4,286.10 × 1,689.58
  4. Step 4: Simplify right side
    3,105.81x = 7,241,701.37
  5. Step 5: Solve for x
    x = 7,241,701.37/3,105.81
  6. Step 6: Final answer
    x = 2,331.66

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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.