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Finding the Fourth Proportional to 2,906.50, 4,012.80 and 2,242.12

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Solution

The fourth proportional to 2,906.50, 4,012.80 and 2,242.12 is: 3,095.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.50 : 4,012.80 = 2,242.12 : x
  2. Step 2: Convert to fraction form
    2,906.50/4,012.80 = 2,242.12/x
  3. Step 3: Cross multiply
    2,906.50x = 4,012.80 × 2,242.12
  4. Step 4: Simplify right side
    2,906.50x = 8,997,179.14
  5. Step 5: Solve for x
    x = 8,997,179.14/2,906.50
  6. Step 6: Final answer
    x = 3,095.54

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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.