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Finding the Fourth Proportional to 2,609.41, 3,600.95 and 1,414.37

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Solution

The fourth proportional to 2,609.41, 3,600.95 and 1,414.37 is: 1,951.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.41 : 3,600.95 = 1,414.37 : x
  2. Step 2: Convert to fraction form
    2,609.41/3,600.95 = 1,414.37/x
  3. Step 3: Cross multiply
    2,609.41x = 3,600.95 × 1,414.37
  4. Step 4: Simplify right side
    2,609.41x = 5,093,050.57
  5. Step 5: Solve for x
    x = 5,093,050.57/2,609.41
  6. Step 6: Final answer
    x = 1,951.80

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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.