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Finding the Fourth Proportional to 2,065.89, 3,081.17 and 1,992.99

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Solution

The fourth proportional to 2,065.89, 3,081.17 and 1,992.99 is: 2,972.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.89 : 3,081.17 = 1,992.99 : x
  2. Step 2: Convert to fraction form
    2,065.89/3,081.17 = 1,992.99/x
  3. Step 3: Cross multiply
    2,065.89x = 3,081.17 × 1,992.99
  4. Step 4: Simplify right side
    2,065.89x = 6,140,731.03
  5. Step 5: Solve for x
    x = 6,140,731.03/2,065.89
  6. Step 6: Final answer
    x = 2,972.44

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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.