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Finding the Fourth Proportional to 3,021.98, 4,171.97 and 1,827.16

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Solution

The fourth proportional to 3,021.98, 4,171.97 and 1,827.16 is: 2,522.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.98 : 4,171.97 = 1,827.16 : x
  2. Step 2: Convert to fraction form
    3,021.98/4,171.97 = 1,827.16/x
  3. Step 3: Cross multiply
    3,021.98x = 4,171.97 × 1,827.16
  4. Step 4: Simplify right side
    3,021.98x = 7,622,850.84
  5. Step 5: Solve for x
    x = 7,622,850.84/3,021.98
  6. Step 6: Final answer
    x = 2,522.47

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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.