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Finding the Fourth Proportional to 2,069.43, 2,855.81 and 1,185.23

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Solution

The fourth proportional to 2,069.43, 2,855.81 and 1,185.23 is: 1,635.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.43 : 2,855.81 = 1,185.23 : x
  2. Step 2: Convert to fraction form
    2,069.43/2,855.81 = 1,185.23/x
  3. Step 3: Cross multiply
    2,069.43x = 2,855.81 × 1,185.23
  4. Step 4: Simplify right side
    2,069.43x = 3,384,785.76
  5. Step 5: Solve for x
    x = 3,384,785.76/2,069.43
  6. Step 6: Final answer
    x = 1,635.62

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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.