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Finding the Fourth Proportional to 2,136.34, 3,204.17 and 675.83

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Solution

The fourth proportional to 2,136.34, 3,204.17 and 675.83 is: 1,013.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.34 : 3,204.17 = 675.83 : x
  2. Step 2: Convert to fraction form
    2,136.34/3,204.17 = 675.83/x
  3. Step 3: Cross multiply
    2,136.34x = 3,204.17 × 675.83
  4. Step 4: Simplify right side
    2,136.34x = 2,165,478.84
  5. Step 5: Solve for x
    x = 2,165,478.84/2,136.34
  6. Step 6: Final answer
    x = 1,013.64

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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.