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Finding the Fourth Proportional to 2,029.44, 3,042 and 1,450.56

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Solution

The fourth proportional to 2,029.44, 3,042 and 1,450.56 is: 2,174.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.44 : 3,042 = 1,450.56 : x
  2. Step 2: Convert to fraction form
    2,029.44/3,042 = 1,450.56/x
  3. Step 3: Cross multiply
    2,029.44x = 3,042 × 1,450.56
  4. Step 4: Simplify right side
    2,029.44x = 4,412,603.52
  5. Step 5: Solve for x
    x = 4,412,603.52/2,029.44
  6. Step 6: Final answer
    x = 2,174.30

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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.