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Finding the Fourth Proportional to 1,932.26, 2,897.49 and 699.62

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Solution

The fourth proportional to 1,932.26, 2,897.49 and 699.62 is: 1,049.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.26 : 2,897.49 = 699.62 : x
  2. Step 2: Convert to fraction form
    1,932.26/2,897.49 = 699.62/x
  3. Step 3: Cross multiply
    1,932.26x = 2,897.49 × 699.62
  4. Step 4: Simplify right side
    1,932.26x = 2,027,141.95
  5. Step 5: Solve for x
    x = 2,027,141.95/1,932.26
  6. Step 6: Final answer
    x = 1,049.10

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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.