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Finding the Fourth Proportional to 2,286.05, 3,428.43 and 969.74

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Solution

The fourth proportional to 2,286.05, 3,428.43 and 969.74 is: 1,454.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.05 : 3,428.43 = 969.74 : x
  2. Step 2: Convert to fraction form
    2,286.05/3,428.43 = 969.74/x
  3. Step 3: Cross multiply
    2,286.05x = 3,428.43 × 969.74
  4. Step 4: Simplify right side
    2,286.05x = 3,324,668.57
  5. Step 5: Solve for x
    x = 3,324,668.57/2,286.05
  6. Step 6: Final answer
    x = 1,454.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.