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Finding the Fourth Proportional to 4,511.95, 6,767.82 and 2,044.98

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Solution

The fourth proportional to 4,511.95, 6,767.82 and 2,044.98 is: 3,067.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,511.95 : 6,767.82 = 2,044.98 : x
  2. Step 2: Convert to fraction form
    4,511.95/6,767.82 = 2,044.98/x
  3. Step 3: Cross multiply
    4,511.95x = 6,767.82 × 2,044.98
  4. Step 4: Simplify right side
    4,511.95x = 13,840,056.54
  5. Step 5: Solve for x
    x = 13,840,056.54/4,511.95
  6. Step 6: Final answer
    x = 3,067.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.