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Finding the Fourth Proportional to 2,069.97, 3,105.42 and 1,095.87

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Solution

The fourth proportional to 2,069.97, 3,105.42 and 1,095.87 is: 1,644.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.97 : 3,105.42 = 1,095.87 : x
  2. Step 2: Convert to fraction form
    2,069.97/3,105.42 = 1,095.87/x
  3. Step 3: Cross multiply
    2,069.97x = 3,105.42 × 1,095.87
  4. Step 4: Simplify right side
    2,069.97x = 3,403,136.62
  5. Step 5: Solve for x
    x = 3,403,136.62/2,069.97
  6. Step 6: Final answer
    x = 1,644.05

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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.