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Finding the Fourth Proportional to 2,123.87, 2,930.92 and 1,192.37

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Solution

The fourth proportional to 2,123.87, 2,930.92 and 1,192.37 is: 1,645.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.87 : 2,930.92 = 1,192.37 : x
  2. Step 2: Convert to fraction form
    2,123.87/2,930.92 = 1,192.37/x
  3. Step 3: Cross multiply
    2,123.87x = 2,930.92 × 1,192.37
  4. Step 4: Simplify right side
    2,123.87x = 3,494,723.44
  5. Step 5: Solve for x
    x = 3,494,723.44/2,123.87
  6. Step 6: Final answer
    x = 1,645.45

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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.