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Finding the Fourth Proportional to 2,494.89, 3,440.57 and 1,611

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Solution

The fourth proportional to 2,494.89, 3,440.57 and 1,611 is: 2,221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.89 : 3,440.57 = 1,611 : x
  2. Step 2: Convert to fraction form
    2,494.89/3,440.57 = 1,611/x
  3. Step 3: Cross multiply
    2,494.89x = 3,440.57 × 1,611
  4. Step 4: Simplify right side
    2,494.89x = 5,542,750.22
  5. Step 5: Solve for x
    x = 5,542,750.22/2,494.89
  6. Step 6: Final answer
    x = 2,221.64

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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.