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Finding the Fourth Proportional to 2,705.90, 3,732.22 and 1,759.96

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Solution

The fourth proportional to 2,705.90, 3,732.22 and 1,759.96 is: 2,427.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.90 : 3,732.22 = 1,759.96 : x
  2. Step 2: Convert to fraction form
    2,705.90/3,732.22 = 1,759.96/x
  3. Step 3: Cross multiply
    2,705.90x = 3,732.22 × 1,759.96
  4. Step 4: Simplify right side
    2,705.90x = 6,568,557.91
  5. Step 5: Solve for x
    x = 6,568,557.91/2,705.90
  6. Step 6: Final answer
    x = 2,427.49

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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.