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Finding the Fourth Proportional to 2,486.07, 3,729.97 and 1,099.22

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Solution

The fourth proportional to 2,486.07, 3,729.97 and 1,099.22 is: 1,649.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.07 : 3,729.97 = 1,099.22 : x
  2. Step 2: Convert to fraction form
    2,486.07/3,729.97 = 1,099.22/x
  3. Step 3: Cross multiply
    2,486.07x = 3,729.97 × 1,099.22
  4. Step 4: Simplify right side
    2,486.07x = 4,100,057.62
  5. Step 5: Solve for x
    x = 4,100,057.62/2,486.07
  6. Step 6: Final answer
    x = 1,649.21

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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.