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Finding the Fourth Proportional to 2,609.77, 3,600.69 and 1,614.70

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Solution

The fourth proportional to 2,609.77, 3,600.69 and 1,614.70 is: 2,227.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.77 : 3,600.69 = 1,614.70 : x
  2. Step 2: Convert to fraction form
    2,609.77/3,600.69 = 1,614.70/x
  3. Step 3: Cross multiply
    2,609.77x = 3,600.69 × 1,614.70
  4. Step 4: Simplify right side
    2,609.77x = 5,814,034.14
  5. Step 5: Solve for x
    x = 5,814,034.14/2,609.77
  6. Step 6: Final answer
    x = 2,227.80

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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.