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Finding the Fourth Proportional to 1,838.92, 2,537.72 and 1,092.92

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Solution

The fourth proportional to 1,838.92, 2,537.72 and 1,092.92 is: 1,508.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.92 : 2,537.72 = 1,092.92 : x
  2. Step 2: Convert to fraction form
    1,838.92/2,537.72 = 1,092.92/x
  3. Step 3: Cross multiply
    1,838.92x = 2,537.72 × 1,092.92
  4. Step 4: Simplify right side
    1,838.92x = 2,773,524.94
  5. Step 5: Solve for x
    x = 2,773,524.94/1,838.92
  6. Step 6: Final answer
    x = 1,508.24

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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.