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Finding the Fourth Proportional to 2,846.05, 4,268.84 and 1,609.57

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Solution

The fourth proportional to 2,846.05, 4,268.84 and 1,609.57 is: 2,414.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.05 : 4,268.84 = 1,609.57 : x
  2. Step 2: Convert to fraction form
    2,846.05/4,268.84 = 1,609.57/x
  3. Step 3: Cross multiply
    2,846.05x = 4,268.84 × 1,609.57
  4. Step 4: Simplify right side
    2,846.05x = 6,870,988.75
  5. Step 5: Solve for x
    x = 6,870,988.75/2,846.05
  6. Step 6: Final answer
    x = 2,414.22

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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.