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Finding the Fourth Proportional to 2,823.84, 3,892.83 and 1,981.93

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Solution

The fourth proportional to 2,823.84, 3,892.83 and 1,981.93 is: 2,732.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.84 : 3,892.83 = 1,981.93 : x
  2. Step 2: Convert to fraction form
    2,823.84/3,892.83 = 1,981.93/x
  3. Step 3: Cross multiply
    2,823.84x = 3,892.83 × 1,981.93
  4. Step 4: Simplify right side
    2,823.84x = 7,715,316.56
  5. Step 5: Solve for x
    x = 7,715,316.56/2,823.84
  6. Step 6: Final answer
    x = 2,732.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.