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Finding the Fourth Proportional to 2,136.23, 3,204.74 and 655.55

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Solution

The fourth proportional to 2,136.23, 3,204.74 and 655.55 is: 983.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.23 : 3,204.74 = 655.55 : x
  2. Step 2: Convert to fraction form
    2,136.23/3,204.74 = 655.55/x
  3. Step 3: Cross multiply
    2,136.23x = 3,204.74 × 655.55
  4. Step 4: Simplify right side
    2,136.23x = 2,100,848.01
  5. Step 5: Solve for x
    x = 2,100,848.01/2,136.23
  6. Step 6: Final answer
    x = 983.44

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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.