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Finding the Fourth Proportional to 1,996.26, 2,974.54 and 1,778.16

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Solution

The fourth proportional to 1,996.26, 2,974.54 and 1,778.16 is: 2,649.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.26 : 2,974.54 = 1,778.16 : x
  2. Step 2: Convert to fraction form
    1,996.26/2,974.54 = 1,778.16/x
  3. Step 3: Cross multiply
    1,996.26x = 2,974.54 × 1,778.16
  4. Step 4: Simplify right side
    1,996.26x = 5,289,208.05
  5. Step 5: Solve for x
    x = 5,289,208.05/1,996.26
  6. Step 6: Final answer
    x = 2,649.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.