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Finding the Fourth Proportional to 2,279.20, 3,418.80 and 1,253.20

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Solution

The fourth proportional to 2,279.20, 3,418.80 and 1,253.20 is: 1,879.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.20 : 3,418.80 = 1,253.20 : x
  2. Step 2: Convert to fraction form
    2,279.20/3,418.80 = 1,253.20/x
  3. Step 3: Cross multiply
    2,279.20x = 3,418.80 × 1,253.20
  4. Step 4: Simplify right side
    2,279.20x = 4,284,440.16
  5. Step 5: Solve for x
    x = 4,284,440.16/2,279.20
  6. Step 6: Final answer
    x = 1,879.80

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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.