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Finding the Fourth Proportional to 1,337.94, 1,993.50 and 1,192.44

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Solution

The fourth proportional to 1,337.94, 1,993.50 and 1,192.44 is: 1,776.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.94 : 1,993.50 = 1,192.44 : x
  2. Step 2: Convert to fraction form
    1,337.94/1,993.50 = 1,192.44/x
  3. Step 3: Cross multiply
    1,337.94x = 1,993.50 × 1,192.44
  4. Step 4: Simplify right side
    1,337.94x = 2,377,129.14
  5. Step 5: Solve for x
    x = 2,377,129.14/1,337.94
  6. Step 6: Final answer
    x = 1,776.71

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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.