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Finding the Fourth Proportional to 2,353.44, 3,512.97 and 2,182.13

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Solution

The fourth proportional to 2,353.44, 3,512.97 and 2,182.13 is: 3,257.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.44 : 3,512.97 = 2,182.13 : x
  2. Step 2: Convert to fraction form
    2,353.44/3,512.97 = 2,182.13/x
  3. Step 3: Cross multiply
    2,353.44x = 3,512.97 × 2,182.13
  4. Step 4: Simplify right side
    2,353.44x = 7,665,739.66
  5. Step 5: Solve for x
    x = 7,665,739.66/2,353.44
  6. Step 6: Final answer
    x = 3,257.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.