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Finding the Fourth Proportional to 2,141.95, 3,212.89 and 681.08

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Solution

The fourth proportional to 2,141.95, 3,212.89 and 681.08 is: 1,021.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.95 : 3,212.89 = 681.08 : x
  2. Step 2: Convert to fraction form
    2,141.95/3,212.89 = 681.08/x
  3. Step 3: Cross multiply
    2,141.95x = 3,212.89 × 681.08
  4. Step 4: Simplify right side
    2,141.95x = 2,188,231.72
  5. Step 5: Solve for x
    x = 2,188,231.72/2,141.95
  6. Step 6: Final answer
    x = 1,021.61

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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.