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Finding the Fourth Proportional to 2,933, 4,382.13 and 2,796.92

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Solution

The fourth proportional to 2,933, 4,382.13 and 2,796.92 is: 4,178.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,933 : 4,382.13 = 2,796.92 : x
  2. Step 2: Convert to fraction form
    2,933/4,382.13 = 2,796.92/x
  3. Step 3: Cross multiply
    2,933x = 4,382.13 × 2,796.92
  4. Step 4: Simplify right side
    2,933x = 12,256,467.04
  5. Step 5: Solve for x
    x = 12,256,467.04/2,933
  6. Step 6: Final answer
    x = 4,178.82

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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.