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Finding the Fourth Proportional to 3,173.38, 4,379.26 and 1,914.46

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Solution

The fourth proportional to 3,173.38, 4,379.26 and 1,914.46 is: 2,641.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.38 : 4,379.26 = 1,914.46 : x
  2. Step 2: Convert to fraction form
    3,173.38/4,379.26 = 1,914.46/x
  3. Step 3: Cross multiply
    3,173.38x = 4,379.26 × 1,914.46
  4. Step 4: Simplify right side
    3,173.38x = 8,383,918.10
  5. Step 5: Solve for x
    x = 8,383,918.10/3,173.38
  6. Step 6: Final answer
    x = 2,641.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.