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Finding the Fourth Proportional to 2,726.44, 4,089.66 and 674.44

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Solution

The fourth proportional to 2,726.44, 4,089.66 and 674.44 is: 1,011.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.44 : 4,089.66 = 674.44 : x
  2. Step 2: Convert to fraction form
    2,726.44/4,089.66 = 674.44/x
  3. Step 3: Cross multiply
    2,726.44x = 4,089.66 × 674.44
  4. Step 4: Simplify right side
    2,726.44x = 2,758,217.54
  5. Step 5: Solve for x
    x = 2,758,217.54/2,726.44
  6. Step 6: Final answer
    x = 1,011.66

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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.