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Finding the Fourth Proportional to 1,682, 2,321.16 and 946

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Solution

The fourth proportional to 1,682, 2,321.16 and 946 is: 1,305.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682 : 2,321.16 = 946 : x
  2. Step 2: Convert to fraction form
    1,682/2,321.16 = 946/x
  3. Step 3: Cross multiply
    1,682x = 2,321.16 × 946
  4. Step 4: Simplify right side
    1,682x = 2,195,817.36
  5. Step 5: Solve for x
    x = 2,195,817.36/1,682
  6. Step 6: Final answer
    x = 1,305.48

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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.