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Finding the Fourth Proportional to 2,142.15, 3,213.27 and 681.36

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Solution

The fourth proportional to 2,142.15, 3,213.27 and 681.36 is: 1,022.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.15 : 3,213.27 = 681.36 : x
  2. Step 2: Convert to fraction form
    2,142.15/3,213.27 = 681.36/x
  3. Step 3: Cross multiply
    2,142.15x = 3,213.27 × 681.36
  4. Step 4: Simplify right side
    2,142.15x = 2,189,393.65
  5. Step 5: Solve for x
    x = 2,189,393.65/2,142.15
  6. Step 6: Final answer
    x = 1,022.05

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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.