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Finding the Fourth Proportional to 3,181.81, 4,391.03 and 1,922.86

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Solution

The fourth proportional to 3,181.81, 4,391.03 and 1,922.86 is: 2,653.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.81 : 4,391.03 = 1,922.86 : x
  2. Step 2: Convert to fraction form
    3,181.81/4,391.03 = 1,922.86/x
  3. Step 3: Cross multiply
    3,181.81x = 4,391.03 × 1,922.86
  4. Step 4: Simplify right side
    3,181.81x = 8,443,326.33
  5. Step 5: Solve for x
    x = 8,443,326.33/3,181.81
  6. Step 6: Final answer
    x = 2,653.63

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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.