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Finding the Fourth Proportional to 2,667, 3,682.74 and 1,673.94

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Solution

The fourth proportional to 2,667, 3,682.74 and 1,673.94 is: 2,311.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667 : 3,682.74 = 1,673.94 : x
  2. Step 2: Convert to fraction form
    2,667/3,682.74 = 1,673.94/x
  3. Step 3: Cross multiply
    2,667x = 3,682.74 × 1,673.94
  4. Step 4: Simplify right side
    2,667x = 6,164,685.80
  5. Step 5: Solve for x
    x = 6,164,685.80/2,667
  6. Step 6: Final answer
    x = 2,311.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.