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Finding the Fourth Proportional to 2,726, 4,081.02 and 2,466.60

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Solution

The fourth proportional to 2,726, 4,081.02 and 2,466.60 is: 3,692.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726 : 4,081.02 = 2,466.60 : x
  2. Step 2: Convert to fraction form
    2,726/4,081.02 = 2,466.60/x
  3. Step 3: Cross multiply
    2,726x = 4,081.02 × 2,466.60
  4. Step 4: Simplify right side
    2,726x = 10,066,243.93
  5. Step 5: Solve for x
    x = 10,066,243.93/2,726
  6. Step 6: Final answer
    x = 3,692.68

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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.