Home / 2,466.62-3,699.97-823.17

Finding the Fourth Proportional to 2,466.62, 3,699.97 and 823.17

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Solution

The fourth proportional to 2,466.62, 3,699.97 and 823.17 is: 1,234.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.62 : 3,699.97 = 823.17 : x
  2. Step 2: Convert to fraction form
    2,466.62/3,699.97 = 823.17/x
  3. Step 3: Cross multiply
    2,466.62x = 3,699.97 × 823.17
  4. Step 4: Simplify right side
    2,466.62x = 3,045,716.12
  5. Step 5: Solve for x
    x = 3,045,716.12/2,466.62
  6. Step 6: Final answer
    x = 1,234.77

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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.