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Finding the Fourth Proportional to 2,279.16, 3,418.74 and 979.83

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Solution

The fourth proportional to 2,279.16, 3,418.74 and 979.83 is: 1,469.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.16 : 3,418.74 = 979.83 : x
  2. Step 2: Convert to fraction form
    2,279.16/3,418.74 = 979.83/x
  3. Step 3: Cross multiply
    2,279.16x = 3,418.74 × 979.83
  4. Step 4: Simplify right side
    2,279.16x = 3,349,784.01
  5. Step 5: Solve for x
    x = 3,349,784.01/2,279.16
  6. Step 6: Final answer
    x = 1,469.75

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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.