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Finding the Fourth Proportional to 2,647.96, 3,654.62 and 1,469.41

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Solution

The fourth proportional to 2,647.96, 3,654.62 and 1,469.41 is: 2,028.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.96 : 3,654.62 = 1,469.41 : x
  2. Step 2: Convert to fraction form
    2,647.96/3,654.62 = 1,469.41/x
  3. Step 3: Cross multiply
    2,647.96x = 3,654.62 × 1,469.41
  4. Step 4: Simplify right side
    2,647.96x = 5,370,124.20
  5. Step 5: Solve for x
    x = 5,370,124.20/2,647.96
  6. Step 6: Final answer
    x = 2,028.03

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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.