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Finding the Fourth Proportional to 1,795.29, 2,691.56 and 820.71

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Solution

The fourth proportional to 1,795.29, 2,691.56 and 820.71 is: 1,230.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.29 : 2,691.56 = 820.71 : x
  2. Step 2: Convert to fraction form
    1,795.29/2,691.56 = 820.71/x
  3. Step 3: Cross multiply
    1,795.29x = 2,691.56 × 820.71
  4. Step 4: Simplify right side
    1,795.29x = 2,208,990.21
  5. Step 5: Solve for x
    x = 2,208,990.21/1,795.29
  6. Step 6: Final answer
    x = 1,230.44

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