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Finding the Fourth Proportional to 2,996.33, 4,494.80 and 1,149

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Solution

The fourth proportional to 2,996.33, 4,494.80 and 1,149 is: 1,723.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.33 : 4,494.80 = 1,149 : x
  2. Step 2: Convert to fraction form
    2,996.33/4,494.80 = 1,149/x
  3. Step 3: Cross multiply
    2,996.33x = 4,494.80 × 1,149
  4. Step 4: Simplify right side
    2,996.33x = 5,164,519.46
  5. Step 5: Solve for x
    x = 5,164,519.46/2,996.33
  6. Step 6: Final answer
    x = 1,723.62

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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.