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Finding the Fourth Proportional to 2,707.43, 3,735.96 and 1,999.65

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Solution

The fourth proportional to 2,707.43, 3,735.96 and 1,999.65 is: 2,759.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.43 : 3,735.96 = 1,999.65 : x
  2. Step 2: Convert to fraction form
    2,707.43/3,735.96 = 1,999.65/x
  3. Step 3: Cross multiply
    2,707.43x = 3,735.96 × 1,999.65
  4. Step 4: Simplify right side
    2,707.43x = 7,470,612.41
  5. Step 5: Solve for x
    x = 7,470,612.41/2,707.43
  6. Step 6: Final answer
    x = 2,759.31

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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.