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Finding the Fourth Proportional to 2,211.81, 3,053.61 and 1,965.80

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Solution

The fourth proportional to 2,211.81, 3,053.61 and 1,965.80 is: 2,713.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.81 : 3,053.61 = 1,965.80 : x
  2. Step 2: Convert to fraction form
    2,211.81/3,053.61 = 1,965.80/x
  3. Step 3: Cross multiply
    2,211.81x = 3,053.61 × 1,965.80
  4. Step 4: Simplify right side
    2,211.81x = 6,002,771.27
  5. Step 5: Solve for x
    x = 6,002,771.27/2,211.81
  6. Step 6: Final answer
    x = 2,713.96

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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.