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Finding the Fourth Proportional to 2,609.55, 3,912.89 and 2,302.11

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Solution

The fourth proportional to 2,609.55, 3,912.89 and 2,302.11 is: 3,451.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.55 : 3,912.89 = 2,302.11 : x
  2. Step 2: Convert to fraction form
    2,609.55/3,912.89 = 2,302.11/x
  3. Step 3: Cross multiply
    2,609.55x = 3,912.89 × 2,302.11
  4. Step 4: Simplify right side
    2,609.55x = 9,007,891.69
  5. Step 5: Solve for x
    x = 9,007,891.69/2,609.55
  6. Step 6: Final answer
    x = 3,451.89

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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.