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Finding the Fourth Proportional to 2,687.84, 3,708.41 and 1,626

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Solution

The fourth proportional to 2,687.84, 3,708.41 and 1,626 is: 2,243.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.84 : 3,708.41 = 1,626 : x
  2. Step 2: Convert to fraction form
    2,687.84/3,708.41 = 1,626/x
  3. Step 3: Cross multiply
    2,687.84x = 3,708.41 × 1,626
  4. Step 4: Simplify right side
    2,687.84x = 6,029,874.66
  5. Step 5: Solve for x
    x = 6,029,874.66/2,687.84
  6. Step 6: Final answer
    x = 2,243.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.