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Finding the Fourth Proportional to 2,406.06, 3,609.18 and 2,279.70

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Solution

The fourth proportional to 2,406.06, 3,609.18 and 2,279.70 is: 3,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.06 : 3,609.18 = 2,279.70 : x
  2. Step 2: Convert to fraction form
    2,406.06/3,609.18 = 2,279.70/x
  3. Step 3: Cross multiply
    2,406.06x = 3,609.18 × 2,279.70
  4. Step 4: Simplify right side
    2,406.06x = 8,227,847.65
  5. Step 5: Solve for x
    x = 8,227,847.65/2,406.06
  6. Step 6: Final answer
    x = 3,419.64

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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.