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Finding the Fourth Proportional to 2,172.96, 3,238.83 and 2,155.95

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Solution

The fourth proportional to 2,172.96, 3,238.83 and 2,155.95 is: 3,213.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.96 : 3,238.83 = 2,155.95 : x
  2. Step 2: Convert to fraction form
    2,172.96/3,238.83 = 2,155.95/x
  3. Step 3: Cross multiply
    2,172.96x = 3,238.83 × 2,155.95
  4. Step 4: Simplify right side
    2,172.96x = 6,982,755.54
  5. Step 5: Solve for x
    x = 6,982,755.54/2,172.96
  6. Step 6: Final answer
    x = 3,213.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.