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Finding the Fourth Proportional to 2,773, 3,826.74 and 1,531

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Solution

The fourth proportional to 2,773, 3,826.74 and 1,531 is: 2,112.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773 : 3,826.74 = 1,531 : x
  2. Step 2: Convert to fraction form
    2,773/3,826.74 = 1,531/x
  3. Step 3: Cross multiply
    2,773x = 3,826.74 × 1,531
  4. Step 4: Simplify right side
    2,773x = 5,858,738.94
  5. Step 5: Solve for x
    x = 5,858,738.94/2,773
  6. Step 6: Final answer
    x = 2,112.78

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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.