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Finding the Fourth Proportional to 2,489.34, 3,434.60 and 1,604.42

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Solution

The fourth proportional to 2,489.34, 3,434.60 and 1,604.42 is: 2,213.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.34 : 3,434.60 = 1,604.42 : x
  2. Step 2: Convert to fraction form
    2,489.34/3,434.60 = 1,604.42/x
  3. Step 3: Cross multiply
    2,489.34x = 3,434.60 × 1,604.42
  4. Step 4: Simplify right side
    2,489.34x = 5,510,540.93
  5. Step 5: Solve for x
    x = 5,510,540.93/2,489.34
  6. Step 6: Final answer
    x = 2,213.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.