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Finding the Fourth Proportional to 3,161.91, 4,363.44 and 1,745.57

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Solution

The fourth proportional to 3,161.91, 4,363.44 and 1,745.57 is: 2,408.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.91 : 4,363.44 = 1,745.57 : x
  2. Step 2: Convert to fraction form
    3,161.91/4,363.44 = 1,745.57/x
  3. Step 3: Cross multiply
    3,161.91x = 4,363.44 × 1,745.57
  4. Step 4: Simplify right side
    3,161.91x = 7,616,689.96
  5. Step 5: Solve for x
    x = 7,616,689.96/3,161.91
  6. Step 6: Final answer
    x = 2,408.89

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