Home / 2,466.44-3,699.62-823.10

Finding the Fourth Proportional to 2,466.44, 3,699.62 and 823.10

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Solution

The fourth proportional to 2,466.44, 3,699.62 and 823.10 is: 1,234.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.44 : 3,699.62 = 823.10 : x
  2. Step 2: Convert to fraction form
    2,466.44/3,699.62 = 823.10/x
  3. Step 3: Cross multiply
    2,466.44x = 3,699.62 × 823.10
  4. Step 4: Simplify right side
    2,466.44x = 3,045,157.22
  5. Step 5: Solve for x
    x = 3,045,157.22/2,466.44
  6. Step 6: Final answer
    x = 1,234.64

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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.