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Finding the Fourth Proportional to 2,163.81, 3,223.38 and 2,029.35

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Solution

The fourth proportional to 2,163.81, 3,223.38 and 2,029.35 is: 3,023.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.81 : 3,223.38 = 2,029.35 : x
  2. Step 2: Convert to fraction form
    2,163.81/3,223.38 = 2,029.35/x
  3. Step 3: Cross multiply
    2,163.81x = 3,223.38 × 2,029.35
  4. Step 4: Simplify right side
    2,163.81x = 6,541,366.20
  5. Step 5: Solve for x
    x = 6,541,366.20/2,163.81
  6. Step 6: Final answer
    x = 3,023.08

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