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Finding the Fourth Proportional to 2,049.44, 3,072.34 and 750.61

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Solution

The fourth proportional to 2,049.44, 3,072.34 and 750.61 is: 1,125.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.44 : 3,072.34 = 750.61 : x
  2. Step 2: Convert to fraction form
    2,049.44/3,072.34 = 750.61/x
  3. Step 3: Cross multiply
    2,049.44x = 3,072.34 × 750.61
  4. Step 4: Simplify right side
    2,049.44x = 2,306,119.57
  5. Step 5: Solve for x
    x = 2,306,119.57/2,049.44
  6. Step 6: Final answer
    x = 1,125.24

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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.