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Finding the Fourth Proportional to 2,279.34, 3,414.87 and 1,584.54

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Solution

The fourth proportional to 2,279.34, 3,414.87 and 1,584.54 is: 2,373.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.34 : 3,414.87 = 1,584.54 : x
  2. Step 2: Convert to fraction form
    2,279.34/3,414.87 = 1,584.54/x
  3. Step 3: Cross multiply
    2,279.34x = 3,414.87 × 1,584.54
  4. Step 4: Simplify right side
    2,279.34x = 5,410,998.11
  5. Step 5: Solve for x
    x = 5,410,998.11/2,279.34
  6. Step 6: Final answer
    x = 2,373.93

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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.