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Finding the Fourth Proportional to 3,023.27, 4,171.97 and 1,828.55

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Solution

The fourth proportional to 3,023.27, 4,171.97 and 1,828.55 is: 2,523.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.27 : 4,171.97 = 1,828.55 : x
  2. Step 2: Convert to fraction form
    3,023.27/4,171.97 = 1,828.55/x
  3. Step 3: Cross multiply
    3,023.27x = 4,171.97 × 1,828.55
  4. Step 4: Simplify right side
    3,023.27x = 7,628,625.74
  5. Step 5: Solve for x
    x = 7,628,625.74/3,023.27
  6. Step 6: Final answer
    x = 2,523.31

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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.