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Finding the Fourth Proportional to 2,709.79, 3,738.96 and 2,081.03

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Solution

The fourth proportional to 2,709.79, 3,738.96 and 2,081.03 is: 2,871.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.79 : 3,738.96 = 2,081.03 : x
  2. Step 2: Convert to fraction form
    2,709.79/3,738.96 = 2,081.03/x
  3. Step 3: Cross multiply
    2,709.79x = 3,738.96 × 2,081.03
  4. Step 4: Simplify right side
    2,709.79x = 7,780,869.23
  5. Step 5: Solve for x
    x = 7,780,869.23/2,709.79
  6. Step 6: Final answer
    x = 2,871.39

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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.