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Finding the Fourth Proportional to 2,965.67, 4,092.62 and 1,786.97

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Solution

The fourth proportional to 2,965.67, 4,092.62 and 1,786.97 is: 2,466.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.67 : 4,092.62 = 1,786.97 : x
  2. Step 2: Convert to fraction form
    2,965.67/4,092.62 = 1,786.97/x
  3. Step 3: Cross multiply
    2,965.67x = 4,092.62 × 1,786.97
  4. Step 4: Simplify right side
    2,965.67x = 7,313,368.70
  5. Step 5: Solve for x
    x = 7,313,368.70/2,965.67
  6. Step 6: Final answer
    x = 2,466.01

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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.