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Finding the Fourth Proportional to 4,072.95, 6,105.78 and 1,608.93

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Solution

The fourth proportional to 4,072.95, 6,105.78 and 1,608.93 is: 2,411.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072.95 : 6,105.78 = 1,608.93 : x
  2. Step 2: Convert to fraction form
    4,072.95/6,105.78 = 1,608.93/x
  3. Step 3: Cross multiply
    4,072.95x = 6,105.78 × 1,608.93
  4. Step 4: Simplify right side
    4,072.95x = 9,823,772.62
  5. Step 5: Solve for x
    x = 9,823,772.62/4,072.95
  6. Step 6: Final answer
    x = 2,411.96

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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.