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Finding the Fourth Proportional to 2,821.77, 3,891.28 and 2,023.75

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Solution

The fourth proportional to 2,821.77, 3,891.28 and 2,023.75 is: 2,790.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.77 : 3,891.28 = 2,023.75 : x
  2. Step 2: Convert to fraction form
    2,821.77/3,891.28 = 2,023.75/x
  3. Step 3: Cross multiply
    2,821.77x = 3,891.28 × 2,023.75
  4. Step 4: Simplify right side
    2,821.77x = 7,874,977.90
  5. Step 5: Solve for x
    x = 7,874,977.90/2,821.77
  6. Step 6: Final answer
    x = 2,790.79

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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.