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Finding the Fourth Proportional to 3,408.80, 5,111.84 and 1,328.49

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Solution

The fourth proportional to 3,408.80, 5,111.84 and 1,328.49 is: 1,992.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.80 : 5,111.84 = 1,328.49 : x
  2. Step 2: Convert to fraction form
    3,408.80/5,111.84 = 1,328.49/x
  3. Step 3: Cross multiply
    3,408.80x = 5,111.84 × 1,328.49
  4. Step 4: Simplify right side
    3,408.80x = 6,791,021.68
  5. Step 5: Solve for x
    x = 6,791,021.68/3,408.80
  6. Step 6: Final answer
    x = 1,992.21

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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.