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Finding the Fourth Proportional to 2,992.38, 4,123.87 and 2,151.63

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Solution

The fourth proportional to 2,992.38, 4,123.87 and 2,151.63 is: 2,965.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.38 : 4,123.87 = 2,151.63 : x
  2. Step 2: Convert to fraction form
    2,992.38/4,123.87 = 2,151.63/x
  3. Step 3: Cross multiply
    2,992.38x = 4,123.87 × 2,151.63
  4. Step 4: Simplify right side
    2,992.38x = 8,873,042.41
  5. Step 5: Solve for x
    x = 8,873,042.41/2,992.38
  6. Step 6: Final answer
    x = 2,965.21

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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.