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Finding the Fourth Proportional to 2,136.66, 3,204.78 and 749.94

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Solution

The fourth proportional to 2,136.66, 3,204.78 and 749.94 is: 1,124.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.66 : 3,204.78 = 749.94 : x
  2. Step 2: Convert to fraction form
    2,136.66/3,204.78 = 749.94/x
  3. Step 3: Cross multiply
    2,136.66x = 3,204.78 × 749.94
  4. Step 4: Simplify right side
    2,136.66x = 2,403,392.71
  5. Step 5: Solve for x
    x = 2,403,392.71/2,136.66
  6. Step 6: Final answer
    x = 1,124.84

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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.