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Finding the Fourth Proportional to 3,034.92, 4,548.42 and 1,367.82

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Solution

The fourth proportional to 3,034.92, 4,548.42 and 1,367.82 is: 2,049.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.92 : 4,548.42 = 1,367.82 : x
  2. Step 2: Convert to fraction form
    3,034.92/4,548.42 = 1,367.82/x
  3. Step 3: Cross multiply
    3,034.92x = 4,548.42 × 1,367.82
  4. Step 4: Simplify right side
    3,034.92x = 6,221,419.84
  5. Step 5: Solve for x
    x = 6,221,419.84/3,034.92
  6. Step 6: Final answer
    x = 2,049.95

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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.