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Finding the Fourth Proportional to 1,286.56, 1,930.20 and 1,092.93

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Solution

The fourth proportional to 1,286.56, 1,930.20 and 1,092.93 is: 1,639.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.56 : 1,930.20 = 1,092.93 : x
  2. Step 2: Convert to fraction form
    1,286.56/1,930.20 = 1,092.93/x
  3. Step 3: Cross multiply
    1,286.56x = 1,930.20 × 1,092.93
  4. Step 4: Simplify right side
    1,286.56x = 2,109,573.49
  5. Step 5: Solve for x
    x = 2,109,573.49/1,286.56
  6. Step 6: Final answer
    x = 1,639.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.