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Finding the Fourth Proportional to 2,279.62, 3,419.57 and 613.99

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Solution

The fourth proportional to 2,279.62, 3,419.57 and 613.99 is: 921.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.62 : 3,419.57 = 613.99 : x
  2. Step 2: Convert to fraction form
    2,279.62/3,419.57 = 613.99/x
  3. Step 3: Cross multiply
    2,279.62x = 3,419.57 × 613.99
  4. Step 4: Simplify right side
    2,279.62x = 2,099,581.78
  5. Step 5: Solve for x
    x = 2,099,581.78/2,279.62
  6. Step 6: Final answer
    x = 921.02

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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.