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Finding the Fourth Proportional to 1,999.81, 2,758.98 and 1,213.57

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Solution

The fourth proportional to 1,999.81, 2,758.98 and 1,213.57 is: 1,674.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.81 : 2,758.98 = 1,213.57 : x
  2. Step 2: Convert to fraction form
    1,999.81/2,758.98 = 1,213.57/x
  3. Step 3: Cross multiply
    1,999.81x = 2,758.98 × 1,213.57
  4. Step 4: Simplify right side
    1,999.81x = 3,348,215.36
  5. Step 5: Solve for x
    x = 3,348,215.36/1,999.81
  6. Step 6: Final answer
    x = 1,674.27

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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.