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Finding the Fourth Proportional to 2,600.69, 3,898.42 and 2,247.89

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Solution

The fourth proportional to 2,600.69, 3,898.42 and 2,247.89 is: 3,369.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.69 : 3,898.42 = 2,247.89 : x
  2. Step 2: Convert to fraction form
    2,600.69/3,898.42 = 2,247.89/x
  3. Step 3: Cross multiply
    2,600.69x = 3,898.42 × 2,247.89
  4. Step 4: Simplify right side
    2,600.69x = 8,763,194.22
  5. Step 5: Solve for x
    x = 8,763,194.22/2,600.69
  6. Step 6: Final answer
    x = 3,369.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.