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Finding the Fourth Proportional to 2,136.24, 3,203.99 and 596.88

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Solution

The fourth proportional to 2,136.24, 3,203.99 and 596.88 is: 895.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.24 : 3,203.99 = 596.88 : x
  2. Step 2: Convert to fraction form
    2,136.24/3,203.99 = 596.88/x
  3. Step 3: Cross multiply
    2,136.24x = 3,203.99 × 596.88
  4. Step 4: Simplify right side
    2,136.24x = 1,912,397.55
  5. Step 5: Solve for x
    x = 1,912,397.55/2,136.24
  6. Step 6: Final answer
    x = 895.22

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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.