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Finding the Fourth Proportional to 2,466.81, 3,401.94 and 1,906.41

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Solution

The fourth proportional to 2,466.81, 3,401.94 and 1,906.41 is: 2,629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.81 : 3,401.94 = 1,906.41 : x
  2. Step 2: Convert to fraction form
    2,466.81/3,401.94 = 1,906.41/x
  3. Step 3: Cross multiply
    2,466.81x = 3,401.94 × 1,906.41
  4. Step 4: Simplify right side
    2,466.81x = 6,485,492.44
  5. Step 5: Solve for x
    x = 6,485,492.44/2,466.81
  6. Step 6: Final answer
    x = 2,629.10

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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.