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Finding the Fourth Proportional to 2,809.56, 3,877.96 and 1,631

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Solution

The fourth proportional to 2,809.56, 3,877.96 and 1,631 is: 2,251.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.56 : 3,877.96 = 1,631 : x
  2. Step 2: Convert to fraction form
    2,809.56/3,877.96 = 1,631/x
  3. Step 3: Cross multiply
    2,809.56x = 3,877.96 × 1,631
  4. Step 4: Simplify right side
    2,809.56x = 6,324,952.76
  5. Step 5: Solve for x
    x = 6,324,952.76/2,809.56
  6. Step 6: Final answer
    x = 2,251.23

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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.