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Finding the Fourth Proportional to 2,467.29, 3,699.46 and 823.39

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Solution

The fourth proportional to 2,467.29, 3,699.46 and 823.39 is: 1,234.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.29 : 3,699.46 = 823.39 : x
  2. Step 2: Convert to fraction form
    2,467.29/3,699.46 = 823.39/x
  3. Step 3: Cross multiply
    2,467.29x = 3,699.46 × 823.39
  4. Step 4: Simplify right side
    2,467.29x = 3,046,098.37
  5. Step 5: Solve for x
    x = 3,046,098.37/2,467.29
  6. Step 6: Final answer
    x = 1,234.59

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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.