Home / 1,682.85-2,322.36-936.82

Finding the Fourth Proportional to 1,682.85, 2,322.36 and 936.82

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Solution

The fourth proportional to 1,682.85, 2,322.36 and 936.82 is: 1,292.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.85 : 2,322.36 = 936.82 : x
  2. Step 2: Convert to fraction form
    1,682.85/2,322.36 = 936.82/x
  3. Step 3: Cross multiply
    1,682.85x = 2,322.36 × 936.82
  4. Step 4: Simplify right side
    1,682.85x = 2,175,627.49
  5. Step 5: Solve for x
    x = 2,175,627.49/1,682.85
  6. Step 6: Final answer
    x = 1,292.82

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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.