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Finding the Fourth Proportional to 2,143.22, 3,220.22 and 1,363.57

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Solution

The fourth proportional to 2,143.22, 3,220.22 and 1,363.57 is: 2,048.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.22 : 3,220.22 = 1,363.57 : x
  2. Step 2: Convert to fraction form
    2,143.22/3,220.22 = 1,363.57/x
  3. Step 3: Cross multiply
    2,143.22x = 3,220.22 × 1,363.57
  4. Step 4: Simplify right side
    2,143.22x = 4,390,983.07
  5. Step 5: Solve for x
    x = 4,390,983.07/2,143.22
  6. Step 6: Final answer
    x = 2,048.78

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