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Finding the Fourth Proportional to 2,744.01, 4,106.89 and 2,193.61

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Solution

The fourth proportional to 2,744.01, 4,106.89 and 2,193.61 is: 3,283.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.01 : 4,106.89 = 2,193.61 : x
  2. Step 2: Convert to fraction form
    2,744.01/4,106.89 = 2,193.61/x
  3. Step 3: Cross multiply
    2,744.01x = 4,106.89 × 2,193.61
  4. Step 4: Simplify right side
    2,744.01x = 9,008,914.97
  5. Step 5: Solve for x
    x = 9,008,914.97/2,744.01
  6. Step 6: Final answer
    x = 3,283.12

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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.