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Finding the Fourth Proportional to 2,272.01, 3,408.89 and 886.33

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Solution

The fourth proportional to 2,272.01, 3,408.89 and 886.33 is: 1,329.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.01 : 3,408.89 = 886.33 : x
  2. Step 2: Convert to fraction form
    2,272.01/3,408.89 = 886.33/x
  3. Step 3: Cross multiply
    2,272.01x = 3,408.89 × 886.33
  4. Step 4: Simplify right side
    2,272.01x = 3,021,401.47
  5. Step 5: Solve for x
    x = 3,021,401.47/2,272.01
  6. Step 6: Final answer
    x = 1,329.84

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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.