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Finding the Fourth Proportional to 2,759.49, 3,806.87 and 1,640.07

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Solution

The fourth proportional to 2,759.49, 3,806.87 and 1,640.07 is: 2,262.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.49 : 3,806.87 = 1,640.07 : x
  2. Step 2: Convert to fraction form
    2,759.49/3,806.87 = 1,640.07/x
  3. Step 3: Cross multiply
    2,759.49x = 3,806.87 × 1,640.07
  4. Step 4: Simplify right side
    2,759.49x = 6,243,525.08
  5. Step 5: Solve for x
    x = 6,243,525.08/2,759.49
  6. Step 6: Final answer
    x = 2,262.56

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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.