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Finding the Fourth Proportional to 2,164.26, 3,244.22 and 846.19

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Solution

The fourth proportional to 2,164.26, 3,244.22 and 846.19 is: 1,268.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.26 : 3,244.22 = 846.19 : x
  2. Step 2: Convert to fraction form
    2,164.26/3,244.22 = 846.19/x
  3. Step 3: Cross multiply
    2,164.26x = 3,244.22 × 846.19
  4. Step 4: Simplify right side
    2,164.26x = 2,745,206.07
  5. Step 5: Solve for x
    x = 2,745,206.07/2,164.26
  6. Step 6: Final answer
    x = 1,268.43

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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.