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Finding the Fourth Proportional to 2,047.73, 2,824.89 and 1,260.41

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Solution

The fourth proportional to 2,047.73, 2,824.89 and 1,260.41 is: 1,738.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.73 : 2,824.89 = 1,260.41 : x
  2. Step 2: Convert to fraction form
    2,047.73/2,824.89 = 1,260.41/x
  3. Step 3: Cross multiply
    2,047.73x = 2,824.89 × 1,260.41
  4. Step 4: Simplify right side
    2,047.73x = 3,560,519.60
  5. Step 5: Solve for x
    x = 3,560,519.60/2,047.73
  6. Step 6: Final answer
    x = 1,738.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.