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Finding the Fourth Proportional to 2,161.46, 3,240.12 and 846.05

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Solution

The fourth proportional to 2,161.46, 3,240.12 and 846.05 is: 1,268.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.46 : 3,240.12 = 846.05 : x
  2. Step 2: Convert to fraction form
    2,161.46/3,240.12 = 846.05/x
  3. Step 3: Cross multiply
    2,161.46x = 3,240.12 × 846.05
  4. Step 4: Simplify right side
    2,161.46x = 2,741,287.33
  5. Step 5: Solve for x
    x = 2,741,287.33/2,161.46
  6. Step 6: Final answer
    x = 1,268.26

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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.