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Finding the Fourth Proportional to 2,136.38, 3,204.56 and 597.38

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Solution

The fourth proportional to 2,136.38, 3,204.56 and 597.38 is: 896.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.38 : 3,204.56 = 597.38 : x
  2. Step 2: Convert to fraction form
    2,136.38/3,204.56 = 597.38/x
  3. Step 3: Cross multiply
    2,136.38x = 3,204.56 × 597.38
  4. Step 4: Simplify right side
    2,136.38x = 1,914,325.52
  5. Step 5: Solve for x
    x = 1,914,325.52/2,136.38
  6. Step 6: Final answer
    x = 896.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.