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Finding the Fourth Proportional to 2,902.75, 4,003.09 and 2,238.55

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Solution

The fourth proportional to 2,902.75, 4,003.09 and 2,238.55 is: 3,087.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.75 : 4,003.09 = 2,238.55 : x
  2. Step 2: Convert to fraction form
    2,902.75/4,003.09 = 2,238.55/x
  3. Step 3: Cross multiply
    2,902.75x = 4,003.09 × 2,238.55
  4. Step 4: Simplify right side
    2,902.75x = 8,961,117.12
  5. Step 5: Solve for x
    x = 8,961,117.12/2,902.75
  6. Step 6: Final answer
    x = 3,087.11

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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.