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Finding the Fourth Proportional to 2,272.34, 3,408.98 and 1,296.42

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Solution

The fourth proportional to 2,272.34, 3,408.98 and 1,296.42 is: 1,944.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.34 : 3,408.98 = 1,296.42 : x
  2. Step 2: Convert to fraction form
    2,272.34/3,408.98 = 1,296.42/x
  3. Step 3: Cross multiply
    2,272.34x = 3,408.98 × 1,296.42
  4. Step 4: Simplify right side
    2,272.34x = 4,419,463.37
  5. Step 5: Solve for x
    x = 4,419,463.37/2,272.34
  6. Step 6: Final answer
    x = 1,944.90

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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.