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Finding the Fourth Proportional to 2,687.49, 3,709.40 and 1,640.43

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Solution

The fourth proportional to 2,687.49, 3,709.40 and 1,640.43 is: 2,264.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.49 : 3,709.40 = 1,640.43 : x
  2. Step 2: Convert to fraction form
    2,687.49/3,709.40 = 1,640.43/x
  3. Step 3: Cross multiply
    2,687.49x = 3,709.40 × 1,640.43
  4. Step 4: Simplify right side
    2,687.49x = 6,085,002.84
  5. Step 5: Solve for x
    x = 6,085,002.84/2,687.49
  6. Step 6: Final answer
    x = 2,264.20

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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.