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Finding the Fourth Proportional to 2,853.53, 4,280.97 and 905.73

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Solution

The fourth proportional to 2,853.53, 4,280.97 and 905.73 is: 1,358.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.53 : 4,280.97 = 905.73 : x
  2. Step 2: Convert to fraction form
    2,853.53/4,280.97 = 905.73/x
  3. Step 3: Cross multiply
    2,853.53x = 4,280.97 × 905.73
  4. Step 4: Simplify right side
    2,853.53x = 3,877,414.38
  5. Step 5: Solve for x
    x = 3,877,414.38/2,853.53
  6. Step 6: Final answer
    x = 1,358.81

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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.