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Finding the Fourth Proportional to 2,191.76, 3,270.80 and 1,958.22

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Solution

The fourth proportional to 2,191.76, 3,270.80 and 1,958.22 is: 2,922.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.76 : 3,270.80 = 1,958.22 : x
  2. Step 2: Convert to fraction form
    2,191.76/3,270.80 = 1,958.22/x
  3. Step 3: Cross multiply
    2,191.76x = 3,270.80 × 1,958.22
  4. Step 4: Simplify right side
    2,191.76x = 6,404,945.98
  5. Step 5: Solve for x
    x = 6,404,945.98/2,191.76
  6. Step 6: Final answer
    x = 2,922.28

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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.