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Finding the Fourth Proportional to 2,279.46, 3,410.88 and 2,105.22

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Solution

The fourth proportional to 2,279.46, 3,410.88 and 2,105.22 is: 3,150.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.46 : 3,410.88 = 2,105.22 : x
  2. Step 2: Convert to fraction form
    2,279.46/3,410.88 = 2,105.22/x
  3. Step 3: Cross multiply
    2,279.46x = 3,410.88 × 2,105.22
  4. Step 4: Simplify right side
    2,279.46x = 7,180,652.79
  5. Step 5: Solve for x
    x = 7,180,652.79/2,279.46
  6. Step 6: Final answer
    x = 3,150.16

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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.