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Finding the Fourth Proportional to 2,163.87, 3,223.47 and 2,029.41

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Solution

The fourth proportional to 2,163.87, 3,223.47 and 2,029.41 is: 3,023.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.87 : 3,223.47 = 2,029.41 : x
  2. Step 2: Convert to fraction form
    2,163.87/3,223.47 = 2,029.41/x
  3. Step 3: Cross multiply
    2,163.87x = 3,223.47 × 2,029.41
  4. Step 4: Simplify right side
    2,163.87x = 6,541,749.86
  5. Step 5: Solve for x
    x = 6,541,749.86/2,163.87
  6. Step 6: Final answer
    x = 3,023.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.