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Finding the Fourth Proportional to 1,516.92, 2,092.68 and 927.42

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Solution

The fourth proportional to 1,516.92, 2,092.68 and 927.42 is: 1,279.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.92 : 2,092.68 = 927.42 : x
  2. Step 2: Convert to fraction form
    1,516.92/2,092.68 = 927.42/x
  3. Step 3: Cross multiply
    1,516.92x = 2,092.68 × 927.42
  4. Step 4: Simplify right side
    1,516.92x = 1,940,793.29
  5. Step 5: Solve for x
    x = 1,940,793.29/1,516.92
  6. Step 6: Final answer
    x = 1,279.43

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1.5x scale

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.