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Finding the Fourth Proportional to 2,609.27, 3,600 and 1,614.20

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Solution

The fourth proportional to 2,609.27, 3,600 and 1,614.20 is: 2,227.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.27 : 3,600 = 1,614.20 : x
  2. Step 2: Convert to fraction form
    2,609.27/3,600 = 1,614.20/x
  3. Step 3: Cross multiply
    2,609.27x = 3,600 × 1,614.20
  4. Step 4: Simplify right side
    2,609.27x = 5,811,120
  5. Step 5: Solve for x
    x = 5,811,120/2,609.27
  6. Step 6: Final answer
    x = 2,227.11

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Why These Related Problems?

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