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Finding the Fourth Proportional to 3,022.77, 4,171.27 and 1,828.05

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Solution

The fourth proportional to 3,022.77, 4,171.27 and 1,828.05 is: 2,522.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.77 : 4,171.27 = 1,828.05 : x
  2. Step 2: Convert to fraction form
    3,022.77/4,171.27 = 1,828.05/x
  3. Step 3: Cross multiply
    3,022.77x = 4,171.27 × 1,828.05
  4. Step 4: Simplify right side
    3,022.77x = 7,625,290.12
  5. Step 5: Solve for x
    x = 7,625,290.12/3,022.77
  6. Step 6: Final answer
    x = 2,522.62

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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.