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Finding the Fourth Proportional to 2,684.25, 3,705.89 and 1,754.37

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Solution

The fourth proportional to 2,684.25, 3,705.89 and 1,754.37 is: 2,422.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.25 : 3,705.89 = 1,754.37 : x
  2. Step 2: Convert to fraction form
    2,684.25/3,705.89 = 1,754.37/x
  3. Step 3: Cross multiply
    2,684.25x = 3,705.89 × 1,754.37
  4. Step 4: Simplify right side
    2,684.25x = 6,501,493.47
  5. Step 5: Solve for x
    x = 6,501,493.47/2,684.25
  6. Step 6: Final answer
    x = 2,422.09

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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.