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Finding the Fourth Proportional to 3,404.77, 4,694.79 and 2,144.31

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Solution

The fourth proportional to 3,404.77, 4,694.79 and 2,144.31 is: 2,956.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.77 : 4,694.79 = 2,144.31 : x
  2. Step 2: Convert to fraction form
    3,404.77/4,694.79 = 2,144.31/x
  3. Step 3: Cross multiply
    3,404.77x = 4,694.79 × 2,144.31
  4. Step 4: Simplify right side
    3,404.77x = 10,067,075.58
  5. Step 5: Solve for x
    x = 10,067,075.58/3,404.77
  6. Step 6: Final answer
    x = 2,956.76

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