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Finding the Fourth Proportional to 1,951.29, 2,926.26 and 634.70

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Solution

The fourth proportional to 1,951.29, 2,926.26 and 634.70 is: 951.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.29 : 2,926.26 = 634.70 : x
  2. Step 2: Convert to fraction form
    1,951.29/2,926.26 = 634.70/x
  3. Step 3: Cross multiply
    1,951.29x = 2,926.26 × 634.70
  4. Step 4: Simplify right side
    1,951.29x = 1,857,304.54
  5. Step 5: Solve for x
    x = 1,857,304.54/1,951.29
  6. Step 6: Final answer
    x = 951.83

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1.5x scale

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.