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Finding the Fourth Proportional to 2,686, 3,706.68 and 1,637.92

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Solution

The fourth proportional to 2,686, 3,706.68 and 1,637.92 is: 2,260.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686 : 3,706.68 = 1,637.92 : x
  2. Step 2: Convert to fraction form
    2,686/3,706.68 = 1,637.92/x
  3. Step 3: Cross multiply
    2,686x = 3,706.68 × 1,637.92
  4. Step 4: Simplify right side
    2,686x = 6,071,245.31
  5. Step 5: Solve for x
    x = 6,071,245.31/2,686
  6. Step 6: Final answer
    x = 2,260.33

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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.