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Finding the Fourth Proportional to 2,205.20, 3,304.07 and 1,093.13

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Solution

The fourth proportional to 2,205.20, 3,304.07 and 1,093.13 is: 1,637.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.20 : 3,304.07 = 1,093.13 : x
  2. Step 2: Convert to fraction form
    2,205.20/3,304.07 = 1,093.13/x
  3. Step 3: Cross multiply
    2,205.20x = 3,304.07 × 1,093.13
  4. Step 4: Simplify right side
    2,205.20x = 3,611,756.05
  5. Step 5: Solve for x
    x = 3,611,756.05/2,205.20
  6. Step 6: Final answer
    x = 1,637.84

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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.