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Finding the Fourth Proportional to 2,749.68, 4,100.39 and 2,450.93

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Solution

The fourth proportional to 2,749.68, 4,100.39 and 2,450.93 is: 3,654.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.68 : 4,100.39 = 2,450.93 : x
  2. Step 2: Convert to fraction form
    2,749.68/4,100.39 = 2,450.93/x
  3. Step 3: Cross multiply
    2,749.68x = 4,100.39 × 2,450.93
  4. Step 4: Simplify right side
    2,749.68x = 10,049,745.30
  5. Step 5: Solve for x
    x = 10,049,745.30/2,749.68
  6. Step 6: Final answer
    x = 3,654.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.