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Finding the Fourth Proportional to 2,136.18, 3,204.81 and 902.97

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Solution

The fourth proportional to 2,136.18, 3,204.81 and 902.97 is: 1,354.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.18 : 3,204.81 = 902.97 : x
  2. Step 2: Convert to fraction form
    2,136.18/3,204.81 = 902.97/x
  3. Step 3: Cross multiply
    2,136.18x = 3,204.81 × 902.97
  4. Step 4: Simplify right side
    2,136.18x = 2,893,847.29
  5. Step 5: Solve for x
    x = 2,893,847.29/2,136.18
  6. Step 6: Final answer
    x = 1,354.68

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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.