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Finding the Fourth Proportional to 2,279.31, 3,419.01 and 892.59

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Solution

The fourth proportional to 2,279.31, 3,419.01 and 892.59 is: 1,338.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.31 : 3,419.01 = 892.59 : x
  2. Step 2: Convert to fraction form
    2,279.31/3,419.01 = 892.59/x
  3. Step 3: Cross multiply
    2,279.31x = 3,419.01 × 892.59
  4. Step 4: Simplify right side
    2,279.31x = 3,051,774.14
  5. Step 5: Solve for x
    x = 3,051,774.14/2,279.31
  6. Step 6: Final answer
    x = 1,338.90

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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.