Home / 2,467.06-3,699.34-823.03

Finding the Fourth Proportional to 2,467.06, 3,699.34 and 823.03

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Solution

The fourth proportional to 2,467.06, 3,699.34 and 823.03 is: 1,234.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.06 : 3,699.34 = 823.03 : x
  2. Step 2: Convert to fraction form
    2,467.06/3,699.34 = 823.03/x
  3. Step 3: Cross multiply
    2,467.06x = 3,699.34 × 823.03
  4. Step 4: Simplify right side
    2,467.06x = 3,044,656.49
  5. Step 5: Solve for x
    x = 3,044,656.49/2,467.06
  6. Step 6: Final answer
    x = 1,234.12

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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.