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Finding the Fourth Proportional to 2,142.36, 3,213.90 and 681.96

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Solution

The fourth proportional to 2,142.36, 3,213.90 and 681.96 is: 1,023.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.36 : 3,213.90 = 681.96 : x
  2. Step 2: Convert to fraction form
    2,142.36/3,213.90 = 681.96/x
  3. Step 3: Cross multiply
    2,142.36x = 3,213.90 × 681.96
  4. Step 4: Simplify right side
    2,142.36x = 2,191,751.24
  5. Step 5: Solve for x
    x = 2,191,751.24/2,142.36
  6. Step 6: Final answer
    x = 1,023.05

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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.