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Finding the Fourth Proportional to 2,115.11, 3,172.61 and 634.34

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Solution

The fourth proportional to 2,115.11, 3,172.61 and 634.34 is: 951.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.11 : 3,172.61 = 634.34 : x
  2. Step 2: Convert to fraction form
    2,115.11/3,172.61 = 634.34/x
  3. Step 3: Cross multiply
    2,115.11x = 3,172.61 × 634.34
  4. Step 4: Simplify right side
    2,115.11x = 2,012,494.39
  5. Step 5: Solve for x
    x = 2,012,494.39/2,115.11
  6. Step 6: Final answer
    x = 951.49

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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.