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Finding the Fourth Proportional to 3,099.09, 4,649.46 and 1,151.85

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Solution

The fourth proportional to 3,099.09, 4,649.46 and 1,151.85 is: 1,728.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.09 : 4,649.46 = 1,151.85 : x
  2. Step 2: Convert to fraction form
    3,099.09/4,649.46 = 1,151.85/x
  3. Step 3: Cross multiply
    3,099.09x = 4,649.46 × 1,151.85
  4. Step 4: Simplify right side
    3,099.09x = 5,355,480.50
  5. Step 5: Solve for x
    x = 5,355,480.50/3,099.09
  6. Step 6: Final answer
    x = 1,728.08

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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.