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Finding the Fourth Proportional to 2,471.82, 3,392.94 and 2,185.78

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Solution

The fourth proportional to 2,471.82, 3,392.94 and 2,185.78 is: 3,000.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.82 : 3,392.94 = 2,185.78 : x
  2. Step 2: Convert to fraction form
    2,471.82/3,392.94 = 2,185.78/x
  3. Step 3: Cross multiply
    2,471.82x = 3,392.94 × 2,185.78
  4. Step 4: Simplify right side
    2,471.82x = 7,416,220.39
  5. Step 5: Solve for x
    x = 7,416,220.39/2,471.82
  6. Step 6: Final answer
    x = 3,000.31

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.