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Finding the Fourth Proportional to 2,136.25, 3,204.92 and 597.25

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Solution

The fourth proportional to 2,136.25, 3,204.92 and 597.25 is: 896.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.25 : 3,204.92 = 597.25 : x
  2. Step 2: Convert to fraction form
    2,136.25/3,204.92 = 597.25/x
  3. Step 3: Cross multiply
    2,136.25x = 3,204.92 × 597.25
  4. Step 4: Simplify right side
    2,136.25x = 1,914,138.47
  5. Step 5: Solve for x
    x = 1,914,138.47/2,136.25
  6. Step 6: Final answer
    x = 896.03

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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.