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Finding the Fourth Proportional to 2,247.85, 3,103.46 and 1,540.88

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Solution

The fourth proportional to 2,247.85, 3,103.46 and 1,540.88 is: 2,127.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.85 : 3,103.46 = 1,540.88 : x
  2. Step 2: Convert to fraction form
    2,247.85/3,103.46 = 1,540.88/x
  3. Step 3: Cross multiply
    2,247.85x = 3,103.46 × 1,540.88
  4. Step 4: Simplify right side
    2,247.85x = 4,782,059.44
  5. Step 5: Solve for x
    x = 4,782,059.44/2,247.85
  6. Step 6: Final answer
    x = 2,127.39

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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.