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Finding the Fourth Proportional to 2,668, 4,001.26 and 1,369.84

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Solution

The fourth proportional to 2,668, 4,001.26 and 1,369.84 is: 2,054.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668 : 4,001.26 = 1,369.84 : x
  2. Step 2: Convert to fraction form
    2,668/4,001.26 = 1,369.84/x
  3. Step 3: Cross multiply
    2,668x = 4,001.26 × 1,369.84
  4. Step 4: Simplify right side
    2,668x = 5,481,086.00
  5. Step 5: Solve for x
    x = 5,481,086.00/2,668
  6. Step 6: Final answer
    x = 2,054.38

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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.