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Finding the Fourth Proportional to 3,110.95, 4,291.22 and 1,991.49

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Solution

The fourth proportional to 3,110.95, 4,291.22 and 1,991.49 is: 2,747.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110.95 : 4,291.22 = 1,991.49 : x
  2. Step 2: Convert to fraction form
    3,110.95/4,291.22 = 1,991.49/x
  3. Step 3: Cross multiply
    3,110.95x = 4,291.22 × 1,991.49
  4. Step 4: Simplify right side
    3,110.95x = 8,545,926.70
  5. Step 5: Solve for x
    x = 8,545,926.70/3,110.95
  6. Step 6: Final answer
    x = 2,747.05

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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.