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Finding the Fourth Proportional to 2,205.27, 3,305.47 and 905.63

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Solution

The fourth proportional to 2,205.27, 3,305.47 and 905.63 is: 1,357.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.27 : 3,305.47 = 905.63 : x
  2. Step 2: Convert to fraction form
    2,205.27/3,305.47 = 905.63/x
  3. Step 3: Cross multiply
    2,205.27x = 3,305.47 × 905.63
  4. Step 4: Simplify right side
    2,205.27x = 2,993,532.80
  5. Step 5: Solve for x
    x = 2,993,532.80/2,205.27
  6. Step 6: Final answer
    x = 1,357.45

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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.