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Finding the Fourth Proportional to 2,136.36, 3,204.94 and 675.88

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Solution

The fourth proportional to 2,136.36, 3,204.94 and 675.88 is: 1,013.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.36 : 3,204.94 = 675.88 : x
  2. Step 2: Convert to fraction form
    2,136.36/3,204.94 = 675.88/x
  3. Step 3: Cross multiply
    2,136.36x = 3,204.94 × 675.88
  4. Step 4: Simplify right side
    2,136.36x = 2,166,154.85
  5. Step 5: Solve for x
    x = 2,166,154.85/2,136.36
  6. Step 6: Final answer
    x = 1,013.95

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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.