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Finding the Fourth Proportional to 2,253.27, 3,379.57 and 671.95

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Solution

The fourth proportional to 2,253.27, 3,379.57 and 671.95 is: 1,007.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.27 : 3,379.57 = 671.95 : x
  2. Step 2: Convert to fraction form
    2,253.27/3,379.57 = 671.95/x
  3. Step 3: Cross multiply
    2,253.27x = 3,379.57 × 671.95
  4. Step 4: Simplify right side
    2,253.27x = 2,270,902.06
  5. Step 5: Solve for x
    x = 2,270,902.06/2,253.27
  6. Step 6: Final answer
    x = 1,007.83

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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.