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Finding the Fourth Proportional to 2,906.07, 4,003.59 and 2,020.33

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Solution

The fourth proportional to 2,906.07, 4,003.59 and 2,020.33 is: 2,783.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.07 : 4,003.59 = 2,020.33 : x
  2. Step 2: Convert to fraction form
    2,906.07/4,003.59 = 2,020.33/x
  3. Step 3: Cross multiply
    2,906.07x = 4,003.59 × 2,020.33
  4. Step 4: Simplify right side
    2,906.07x = 8,088,572.98
  5. Step 5: Solve for x
    x = 8,088,572.98/2,906.07
  6. Step 6: Final answer
    x = 2,783.34

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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.