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Finding the Fourth Proportional to 2,136.39, 3,204.60 and 597.39

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Solution

The fourth proportional to 2,136.39, 3,204.60 and 597.39 is: 896.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.39 : 3,204.60 = 597.39 : x
  2. Step 2: Convert to fraction form
    2,136.39/3,204.60 = 597.39/x
  3. Step 3: Cross multiply
    2,136.39x = 3,204.60 × 597.39
  4. Step 4: Simplify right side
    2,136.39x = 1,914,395.99
  5. Step 5: Solve for x
    x = 1,914,395.99/2,136.39
  6. Step 6: Final answer
    x = 896.09

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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.