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Finding the Fourth Proportional to 2,279.34, 3,419.28 and 892.38

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Solution

The fourth proportional to 2,279.34, 3,419.28 and 892.38 is: 1,338.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.34 : 3,419.28 = 892.38 : x
  2. Step 2: Convert to fraction form
    2,279.34/3,419.28 = 892.38/x
  3. Step 3: Cross multiply
    2,279.34x = 3,419.28 × 892.38
  4. Step 4: Simplify right side
    2,279.34x = 3,051,297.09
  5. Step 5: Solve for x
    x = 3,051,297.09/2,279.34
  6. Step 6: Final answer
    x = 1,338.68

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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.