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Finding the Fourth Proportional to 2,089.89, 3,112.97 and 1,995.12

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Solution

The fourth proportional to 2,089.89, 3,112.97 and 1,995.12 is: 2,971.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.89 : 3,112.97 = 1,995.12 : x
  2. Step 2: Convert to fraction form
    2,089.89/3,112.97 = 1,995.12/x
  3. Step 3: Cross multiply
    2,089.89x = 3,112.97 × 1,995.12
  4. Step 4: Simplify right side
    2,089.89x = 6,210,738.73
  5. Step 5: Solve for x
    x = 6,210,738.73/2,089.89
  6. Step 6: Final answer
    x = 2,971.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.