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Finding the Fourth Proportional to 2,138.12, 2,952.64 and 2,021.64

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Solution

The fourth proportional to 2,138.12, 2,952.64 and 2,021.64 is: 2,791.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.12 : 2,952.64 = 2,021.64 : x
  2. Step 2: Convert to fraction form
    2,138.12/2,952.64 = 2,021.64/x
  3. Step 3: Cross multiply
    2,138.12x = 2,952.64 × 2,021.64
  4. Step 4: Simplify right side
    2,138.12x = 5,969,175.13
  5. Step 5: Solve for x
    x = 5,969,175.13/2,138.12
  6. Step 6: Final answer
    x = 2,791.79

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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.