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Finding the Fourth Proportional to 1,396.87, 2,092.22 and 932.47

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Solution

The fourth proportional to 1,396.87, 2,092.22 and 932.47 is: 1,396.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.87 : 2,092.22 = 932.47 : x
  2. Step 2: Convert to fraction form
    1,396.87/2,092.22 = 932.47/x
  3. Step 3: Cross multiply
    1,396.87x = 2,092.22 × 932.47
  4. Step 4: Simplify right side
    1,396.87x = 1,950,939.08
  5. Step 5: Solve for x
    x = 1,950,939.08/1,396.87
  6. Step 6: Final answer
    x = 1,396.65

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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.