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Finding the Fourth Proportional to 2,812.71, 3,882.33 and 1,633.56

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Solution

The fourth proportional to 2,812.71, 3,882.33 and 1,633.56 is: 2,254.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.71 : 3,882.33 = 1,633.56 : x
  2. Step 2: Convert to fraction form
    2,812.71/3,882.33 = 1,633.56/x
  3. Step 3: Cross multiply
    2,812.71x = 3,882.33 × 1,633.56
  4. Step 4: Simplify right side
    2,812.71x = 6,342,018.99
  5. Step 5: Solve for x
    x = 6,342,018.99/2,812.71
  6. Step 6: Final answer
    x = 2,254.77

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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.