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Finding the Fourth Proportional to 1,995.75, 2,753.70 and 1,209.65

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Solution

The fourth proportional to 1,995.75, 2,753.70 and 1,209.65 is: 1,669.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.75 : 2,753.70 = 1,209.65 : x
  2. Step 2: Convert to fraction form
    1,995.75/2,753.70 = 1,209.65/x
  3. Step 3: Cross multiply
    1,995.75x = 2,753.70 × 1,209.65
  4. Step 4: Simplify right side
    1,995.75x = 3,330,999.44
  5. Step 5: Solve for x
    x = 3,330,999.44/1,995.75
  6. Step 6: Final answer
    x = 1,669.05

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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.