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Finding the Fourth Proportional to 2,049.41, 3,073.74 and 548.46

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Solution

The fourth proportional to 2,049.41, 3,073.74 and 548.46 is: 822.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.41 : 3,073.74 = 548.46 : x
  2. Step 2: Convert to fraction form
    2,049.41/3,073.74 = 548.46/x
  3. Step 3: Cross multiply
    2,049.41x = 3,073.74 × 548.46
  4. Step 4: Simplify right side
    2,049.41x = 1,685,823.44
  5. Step 5: Solve for x
    x = 1,685,823.44/2,049.41
  6. Step 6: Final answer
    x = 822.59

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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.