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Finding the Fourth Proportional to 3,401, 4,693.38 and 2,004.68

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Solution

The fourth proportional to 3,401, 4,693.38 and 2,004.68 is: 2,766.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401 : 4,693.38 = 2,004.68 : x
  2. Step 2: Convert to fraction form
    3,401/4,693.38 = 2,004.68/x
  3. Step 3: Cross multiply
    3,401x = 4,693.38 × 2,004.68
  4. Step 4: Simplify right side
    3,401x = 9,408,725.02
  5. Step 5: Solve for x
    x = 9,408,725.02/3,401
  6. Step 6: Final answer
    x = 2,766.46

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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.