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Finding the Fourth Proportional to 1,965.44, 2,706.04 and 1,832.96

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Solution

The fourth proportional to 1,965.44, 2,706.04 and 1,832.96 is: 2,523.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.44 : 2,706.04 = 1,832.96 : x
  2. Step 2: Convert to fraction form
    1,965.44/2,706.04 = 1,832.96/x
  3. Step 3: Cross multiply
    1,965.44x = 2,706.04 × 1,832.96
  4. Step 4: Simplify right side
    1,965.44x = 4,960,063.08
  5. Step 5: Solve for x
    x = 4,960,063.08/1,965.44
  6. Step 6: Final answer
    x = 2,523.64

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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.