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Finding the Fourth Proportional to 3,094.86, 4,633.92 and 2,266.86

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Solution

The fourth proportional to 3,094.86, 4,633.92 and 2,266.86 is: 3,394.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.86 : 4,633.92 = 2,266.86 : x
  2. Step 2: Convert to fraction form
    3,094.86/4,633.92 = 2,266.86/x
  3. Step 3: Cross multiply
    3,094.86x = 4,633.92 × 2,266.86
  4. Step 4: Simplify right side
    3,094.86x = 10,504,447.89
  5. Step 5: Solve for x
    x = 10,504,447.89/3,094.86
  6. Step 6: Final answer
    x = 3,394.16

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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.