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Finding the Fourth Proportional to 1,682.68, 2,322.09 and 936.71

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Solution

The fourth proportional to 1,682.68, 2,322.09 and 936.71 is: 1,292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.68 : 2,322.09 = 936.71 : x
  2. Step 2: Convert to fraction form
    1,682.68/2,322.09 = 936.71/x
  3. Step 3: Cross multiply
    1,682.68x = 2,322.09 × 936.71
  4. Step 4: Simplify right side
    1,682.68x = 2,175,124.92
  5. Step 5: Solve for x
    x = 2,175,124.92/1,682.68
  6. Step 6: Final answer
    x = 1,292.66

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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.