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Finding the Fourth Proportional to 3,161.66, 4,363.38 and 1,745.60

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Solution

The fourth proportional to 3,161.66, 4,363.38 and 1,745.60 is: 2,409.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.66 : 4,363.38 = 1,745.60 : x
  2. Step 2: Convert to fraction form
    3,161.66/4,363.38 = 1,745.60/x
  3. Step 3: Cross multiply
    3,161.66x = 4,363.38 × 1,745.60
  4. Step 4: Simplify right side
    3,161.66x = 7,616,716.13
  5. Step 5: Solve for x
    x = 7,616,716.13/3,161.66
  6. Step 6: Final answer
    x = 2,409.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.