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Finding the Fourth Proportional to 2,272.11, 3,408.39 and 885.56

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Solution

The fourth proportional to 2,272.11, 3,408.39 and 885.56 is: 1,328.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.11 : 3,408.39 = 885.56 : x
  2. Step 2: Convert to fraction form
    2,272.11/3,408.39 = 885.56/x
  3. Step 3: Cross multiply
    2,272.11x = 3,408.39 × 885.56
  4. Step 4: Simplify right side
    2,272.11x = 3,018,316.81
  5. Step 5: Solve for x
    x = 3,018,316.81/2,272.11
  6. Step 6: Final answer
    x = 1,328.42

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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.