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Finding the Fourth Proportional to 2,832.74, 4,232.86 and 2,161.92

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Solution

The fourth proportional to 2,832.74, 4,232.86 and 2,161.92 is: 3,230.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.74 : 4,232.86 = 2,161.92 : x
  2. Step 2: Convert to fraction form
    2,832.74/4,232.86 = 2,161.92/x
  3. Step 3: Cross multiply
    2,832.74x = 4,232.86 × 2,161.92
  4. Step 4: Simplify right side
    2,832.74x = 9,151,104.69
  5. Step 5: Solve for x
    x = 9,151,104.69/2,832.74
  6. Step 6: Final answer
    x = 3,230.48

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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.