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Finding the Fourth Proportional to 2,782.45, 4,175.04 and 1,965.97

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Solution

The fourth proportional to 2,782.45, 4,175.04 and 1,965.97 is: 2,949.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.45 : 4,175.04 = 1,965.97 : x
  2. Step 2: Convert to fraction form
    2,782.45/4,175.04 = 1,965.97/x
  3. Step 3: Cross multiply
    2,782.45x = 4,175.04 × 1,965.97
  4. Step 4: Simplify right side
    2,782.45x = 8,208,015.98
  5. Step 5: Solve for x
    x = 8,208,015.98/2,782.45
  6. Step 6: Final answer
    x = 2,949.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.