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Finding the Fourth Proportional to 2,286.92, 3,431.22 and 970.96

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Solution

The fourth proportional to 2,286.92, 3,431.22 and 970.96 is: 1,456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.92 : 3,431.22 = 970.96 : x
  2. Step 2: Convert to fraction form
    2,286.92/3,431.22 = 970.96/x
  3. Step 3: Cross multiply
    2,286.92x = 3,431.22 × 970.96
  4. Step 4: Simplify right side
    2,286.92x = 3,331,577.37
  5. Step 5: Solve for x
    x = 3,331,577.37/2,286.92
  6. Step 6: Final answer
    x = 1,456.80

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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.