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Finding the Fourth Proportional to 1,617.57, 2,247.55 and 1,600.43

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Solution

The fourth proportional to 1,617.57, 2,247.55 and 1,600.43 is: 2,223.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.57 : 2,247.55 = 1,600.43 : x
  2. Step 2: Convert to fraction form
    1,617.57/2,247.55 = 1,600.43/x
  3. Step 3: Cross multiply
    1,617.57x = 2,247.55 × 1,600.43
  4. Step 4: Simplify right side
    1,617.57x = 3,597,031.21
  5. Step 5: Solve for x
    x = 3,597,031.21/1,617.57
  6. Step 6: Final answer
    x = 2,223.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.