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Finding the Fourth Proportional to 2,402.32, 3,604.92 and 2,206.48

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Solution

The fourth proportional to 2,402.32, 3,604.92 and 2,206.48 is: 3,311.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.32 : 3,604.92 = 2,206.48 : x
  2. Step 2: Convert to fraction form
    2,402.32/3,604.92 = 2,206.48/x
  3. Step 3: Cross multiply
    2,402.32x = 3,604.92 × 2,206.48
  4. Step 4: Simplify right side
    2,402.32x = 7,954,183.88
  5. Step 5: Solve for x
    x = 7,954,183.88/2,402.32
  6. Step 6: Final answer
    x = 3,311.04

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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.