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Finding the Fourth Proportional to 3,195.86, 4,792.50 and 1,882.27

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Solution

The fourth proportional to 3,195.86, 4,792.50 and 1,882.27 is: 2,822.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195.86 : 4,792.50 = 1,882.27 : x
  2. Step 2: Convert to fraction form
    3,195.86/4,792.50 = 1,882.27/x
  3. Step 3: Cross multiply
    3,195.86x = 4,792.50 × 1,882.27
  4. Step 4: Simplify right side
    3,195.86x = 9,020,784.97
  5. Step 5: Solve for x
    x = 9,020,784.97/3,195.86
  6. Step 6: Final answer
    x = 2,822.65

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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.