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Finding the Fourth Proportional to 2,136.75, 3,205.25 and 597.87

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Solution

The fourth proportional to 2,136.75, 3,205.25 and 597.87 is: 896.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.75 : 3,205.25 = 597.87 : x
  2. Step 2: Convert to fraction form
    2,136.75/3,205.25 = 597.87/x
  3. Step 3: Cross multiply
    2,136.75x = 3,205.25 × 597.87
  4. Step 4: Simplify right side
    2,136.75x = 1,916,319.83
  5. Step 5: Solve for x
    x = 1,916,319.83/2,136.75
  6. Step 6: Final answer
    x = 896.84

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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.