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Finding the Fourth Proportional to 3,161.94, 4,363.40 and 1,745.66

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Solution

The fourth proportional to 3,161.94, 4,363.40 and 1,745.66 is: 2,408.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.94 : 4,363.40 = 1,745.66 : x
  2. Step 2: Convert to fraction form
    3,161.94/4,363.40 = 1,745.66/x
  3. Step 3: Cross multiply
    3,161.94x = 4,363.40 × 1,745.66
  4. Step 4: Simplify right side
    3,161.94x = 7,617,012.84
  5. Step 5: Solve for x
    x = 7,617,012.84/3,161.94
  6. Step 6: Final answer
    x = 2,408.97

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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.