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Finding the Fourth Proportional to 3,099.09, 4,648.77 and 1,224.97

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Solution

The fourth proportional to 3,099.09, 4,648.77 and 1,224.97 is: 1,837.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.09 : 4,648.77 = 1,224.97 : x
  2. Step 2: Convert to fraction form
    3,099.09/4,648.77 = 1,224.97/x
  3. Step 3: Cross multiply
    3,099.09x = 4,648.77 × 1,224.97
  4. Step 4: Simplify right side
    3,099.09x = 5,694,603.79
  5. Step 5: Solve for x
    x = 5,694,603.79/3,099.09
  6. Step 6: Final answer
    x = 1,837.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.