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Finding the Fourth Proportional to 2,879.52, 4,319.28 and 799.56

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Solution

The fourth proportional to 2,879.52, 4,319.28 and 799.56 is: 1,199.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.52 : 4,319.28 = 799.56 : x
  2. Step 2: Convert to fraction form
    2,879.52/4,319.28 = 799.56/x
  3. Step 3: Cross multiply
    2,879.52x = 4,319.28 × 799.56
  4. Step 4: Simplify right side
    2,879.52x = 3,453,523.52
  5. Step 5: Solve for x
    x = 3,453,523.52/2,879.52
  6. Step 6: Final answer
    x = 1,199.34

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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.