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Finding the Fourth Proportional to 2,006.44, 2,994.77 and 1,682.92

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Solution

The fourth proportional to 2,006.44, 2,994.77 and 1,682.92 is: 2,511.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.44 : 2,994.77 = 1,682.92 : x
  2. Step 2: Convert to fraction form
    2,006.44/2,994.77 = 1,682.92/x
  3. Step 3: Cross multiply
    2,006.44x = 2,994.77 × 1,682.92
  4. Step 4: Simplify right side
    2,006.44x = 5,039,958.33
  5. Step 5: Solve for x
    x = 5,039,958.33/2,006.44
  6. Step 6: Final answer
    x = 2,511.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.