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Finding the Fourth Proportional to 2,149.15, 3,224.74 and 1,175.22

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Solution

The fourth proportional to 2,149.15, 3,224.74 and 1,175.22 is: 1,763.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.15 : 3,224.74 = 1,175.22 : x
  2. Step 2: Convert to fraction form
    2,149.15/3,224.74 = 1,175.22/x
  3. Step 3: Cross multiply
    2,149.15x = 3,224.74 × 1,175.22
  4. Step 4: Simplify right side
    2,149.15x = 3,789,778.94
  5. Step 5: Solve for x
    x = 3,789,778.94/2,149.15
  6. Step 6: Final answer
    x = 1,763.39

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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.