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Finding the Fourth Proportional to 2,136.81, 3,204.99 and 675.98

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Solution

The fourth proportional to 2,136.81, 3,204.99 and 675.98 is: 1,013.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.81 : 3,204.99 = 675.98 : x
  2. Step 2: Convert to fraction form
    2,136.81/3,204.99 = 675.98/x
  3. Step 3: Cross multiply
    2,136.81x = 3,204.99 × 675.98
  4. Step 4: Simplify right side
    2,136.81x = 2,166,493.12
  5. Step 5: Solve for x
    x = 2,166,493.12/2,136.81
  6. Step 6: Final answer
    x = 1,013.89

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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.