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Finding the Fourth Proportional to 2,723, 3,757.77 and 1,481

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Solution

The fourth proportional to 2,723, 3,757.77 and 1,481 is: 2,043.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723 : 3,757.77 = 1,481 : x
  2. Step 2: Convert to fraction form
    2,723/3,757.77 = 1,481/x
  3. Step 3: Cross multiply
    2,723x = 3,757.77 × 1,481
  4. Step 4: Simplify right side
    2,723x = 5,565,257.37
  5. Step 5: Solve for x
    x = 5,565,257.37/2,723
  6. Step 6: Final answer
    x = 2,043.80

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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.