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Finding the Fourth Proportional to 2,879.26, 4,319.52 and 931.48

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Solution

The fourth proportional to 2,879.26, 4,319.52 and 931.48 is: 1,397.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.26 : 4,319.52 = 931.48 : x
  2. Step 2: Convert to fraction form
    2,879.26/4,319.52 = 931.48/x
  3. Step 3: Cross multiply
    2,879.26x = 4,319.52 × 931.48
  4. Step 4: Simplify right side
    2,879.26x = 4,023,546.49
  5. Step 5: Solve for x
    x = 4,023,546.49/2,879.26
  6. Step 6: Final answer
    x = 1,397.42

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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.