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Finding the Fourth Proportional to 2,894.50, 3,996.24 and 2,230.12

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Solution

The fourth proportional to 2,894.50, 3,996.24 and 2,230.12 is: 3,078.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.50 : 3,996.24 = 2,230.12 : x
  2. Step 2: Convert to fraction form
    2,894.50/3,996.24 = 2,230.12/x
  3. Step 3: Cross multiply
    2,894.50x = 3,996.24 × 2,230.12
  4. Step 4: Simplify right side
    2,894.50x = 8,912,094.75
  5. Step 5: Solve for x
    x = 8,912,094.75/2,894.50
  6. Step 6: Final answer
    x = 3,078.98

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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.