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Finding the Fourth Proportional to 3,193.92, 4,408.02 and 1,796.94

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Solution

The fourth proportional to 3,193.92, 4,408.02 and 1,796.94 is: 2,480.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.92 : 4,408.02 = 1,796.94 : x
  2. Step 2: Convert to fraction form
    3,193.92/4,408.02 = 1,796.94/x
  3. Step 3: Cross multiply
    3,193.92x = 4,408.02 × 1,796.94
  4. Step 4: Simplify right side
    3,193.92x = 7,920,947.46
  5. Step 5: Solve for x
    x = 7,920,947.46/3,193.92
  6. Step 6: Final answer
    x = 2,480.01

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1.5x scale

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.