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Finding the Fourth Proportional to 3,191.81, 4,789.90 and 1,111.82

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Solution

The fourth proportional to 3,191.81, 4,789.90 and 1,111.82 is: 1,668.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.81 : 4,789.90 = 1,111.82 : x
  2. Step 2: Convert to fraction form
    3,191.81/4,789.90 = 1,111.82/x
  3. Step 3: Cross multiply
    3,191.81x = 4,789.90 × 1,111.82
  4. Step 4: Simplify right side
    3,191.81x = 5,325,484.06
  5. Step 5: Solve for x
    x = 5,325,484.06/3,191.81
  6. Step 6: Final answer
    x = 1,668.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.