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Finding the Fourth Proportional to 3,111.81, 4,292.87 and 1,992.21

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Solution

The fourth proportional to 3,111.81, 4,292.87 and 1,992.21 is: 2,748.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.81 : 4,292.87 = 1,992.21 : x
  2. Step 2: Convert to fraction form
    3,111.81/4,292.87 = 1,992.21/x
  3. Step 3: Cross multiply
    3,111.81x = 4,292.87 × 1,992.21
  4. Step 4: Simplify right side
    3,111.81x = 8,552,288.58
  5. Step 5: Solve for x
    x = 8,552,288.58/3,111.81
  6. Step 6: Final answer
    x = 2,748.33

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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.