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Finding the Fourth Proportional to 2,190.63, 3,284.23 and 1,093.49

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Solution

The fourth proportional to 2,190.63, 3,284.23 and 1,093.49 is: 1,639.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.63 : 3,284.23 = 1,093.49 : x
  2. Step 2: Convert to fraction form
    2,190.63/3,284.23 = 1,093.49/x
  3. Step 3: Cross multiply
    2,190.63x = 3,284.23 × 1,093.49
  4. Step 4: Simplify right side
    2,190.63x = 3,591,272.66
  5. Step 5: Solve for x
    x = 3,591,272.66/2,190.63
  6. Step 6: Final answer
    x = 1,639.38

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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.