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Finding the Fourth Proportional to 2,136.33, 3,203.47 and 749.48

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Solution

The fourth proportional to 2,136.33, 3,203.47 and 749.48 is: 1,123.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.33 : 3,203.47 = 749.48 : x
  2. Step 2: Convert to fraction form
    2,136.33/3,203.47 = 749.48/x
  3. Step 3: Cross multiply
    2,136.33x = 3,203.47 × 749.48
  4. Step 4: Simplify right side
    2,136.33x = 2,400,916.93
  5. Step 5: Solve for x
    x = 2,400,916.93/2,136.33
  6. Step 6: Final answer
    x = 1,123.85

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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.