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Finding the Fourth Proportional to 2,048.43, 3,072.97 and 1,060.94

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Solution

The fourth proportional to 2,048.43, 3,072.97 and 1,060.94 is: 1,591.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.43 : 3,072.97 = 1,060.94 : x
  2. Step 2: Convert to fraction form
    2,048.43/3,072.97 = 1,060.94/x
  3. Step 3: Cross multiply
    2,048.43x = 3,072.97 × 1,060.94
  4. Step 4: Simplify right side
    2,048.43x = 3,260,245.80
  5. Step 5: Solve for x
    x = 3,260,245.80/2,048.43
  6. Step 6: Final answer
    x = 1,591.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.