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Finding the Fourth Proportional to 2,952.74, 4,072.97 and 2,322.25

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Solution

The fourth proportional to 2,952.74, 4,072.97 and 2,322.25 is: 3,203.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.74 : 4,072.97 = 2,322.25 : x
  2. Step 2: Convert to fraction form
    2,952.74/4,072.97 = 2,322.25/x
  3. Step 3: Cross multiply
    2,952.74x = 4,072.97 × 2,322.25
  4. Step 4: Simplify right side
    2,952.74x = 9,458,450.21
  5. Step 5: Solve for x
    x = 9,458,450.21/2,952.74
  6. Step 6: Final answer
    x = 3,203.28

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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.