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Finding the Fourth Proportional to 2,464.29, 3,696.48 and 820.85

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Solution

The fourth proportional to 2,464.29, 3,696.48 and 820.85 is: 1,231.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.29 : 3,696.48 = 820.85 : x
  2. Step 2: Convert to fraction form
    2,464.29/3,696.48 = 820.85/x
  3. Step 3: Cross multiply
    2,464.29x = 3,696.48 × 820.85
  4. Step 4: Simplify right side
    2,464.29x = 3,034,255.61
  5. Step 5: Solve for x
    x = 3,034,255.61/2,464.29
  6. Step 6: Final answer
    x = 1,231.29

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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.