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Finding the Fourth Proportional to 2,609.60, 3,601.19 and 1,614.62

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Solution

The fourth proportional to 2,609.60, 3,601.19 and 1,614.62 is: 2,228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.60 : 3,601.19 = 1,614.62 : x
  2. Step 2: Convert to fraction form
    2,609.60/3,601.19 = 1,614.62/x
  3. Step 3: Cross multiply
    2,609.60x = 3,601.19 × 1,614.62
  4. Step 4: Simplify right side
    2,609.60x = 5,814,553.40
  5. Step 5: Solve for x
    x = 5,814,553.40/2,609.60
  6. Step 6: Final answer
    x = 2,228.14

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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.