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Finding the Fourth Proportional to 2,684.01, 4,022.56 and 2,164.26

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Solution

The fourth proportional to 2,684.01, 4,022.56 and 2,164.26 is: 3,243.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.01 : 4,022.56 = 2,164.26 : x
  2. Step 2: Convert to fraction form
    2,684.01/4,022.56 = 2,164.26/x
  3. Step 3: Cross multiply
    2,684.01x = 4,022.56 × 2,164.26
  4. Step 4: Simplify right side
    2,684.01x = 8,705,855.21
  5. Step 5: Solve for x
    x = 8,705,855.21/2,684.01
  6. Step 6: Final answer
    x = 3,243.60

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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.