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Finding the Fourth Proportional to 2,269.41, 3,404.43 and 952.95

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Solution

The fourth proportional to 2,269.41, 3,404.43 and 952.95 is: 1,429.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.41 : 3,404.43 = 952.95 : x
  2. Step 2: Convert to fraction form
    2,269.41/3,404.43 = 952.95/x
  3. Step 3: Cross multiply
    2,269.41x = 3,404.43 × 952.95
  4. Step 4: Simplify right side
    2,269.41x = 3,244,251.57
  5. Step 5: Solve for x
    x = 3,244,251.57/2,269.41
  6. Step 6: Final answer
    x = 1,429.56

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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.