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Finding the Fourth Proportional to 2,262.43, 3,394.49 and 946.33

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Solution

The fourth proportional to 2,262.43, 3,394.49 and 946.33 is: 1,419.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.43 : 3,394.49 = 946.33 : x
  2. Step 2: Convert to fraction form
    2,262.43/3,394.49 = 946.33/x
  3. Step 3: Cross multiply
    2,262.43x = 3,394.49 × 946.33
  4. Step 4: Simplify right side
    2,262.43x = 3,212,318.92
  5. Step 5: Solve for x
    x = 3,212,318.92/2,262.43
  6. Step 6: Final answer
    x = 1,419.85

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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.