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Finding the Fourth Proportional to 2,136.53, 3,205.34 and 597.53

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Solution

The fourth proportional to 2,136.53, 3,205.34 and 597.53 is: 896.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.53 : 3,205.34 = 597.53 : x
  2. Step 2: Convert to fraction form
    2,136.53/3,205.34 = 597.53/x
  3. Step 3: Cross multiply
    2,136.53x = 3,205.34 × 597.53
  4. Step 4: Simplify right side
    2,136.53x = 1,915,286.81
  5. Step 5: Solve for x
    x = 1,915,286.81/2,136.53
  6. Step 6: Final answer
    x = 896.45

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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.