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Finding the Fourth Proportional to 2,061.08, 3,091.76 and 828.49

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Solution

The fourth proportional to 2,061.08, 3,091.76 and 828.49 is: 1,242.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.08 : 3,091.76 = 828.49 : x
  2. Step 2: Convert to fraction form
    2,061.08/3,091.76 = 828.49/x
  3. Step 3: Cross multiply
    2,061.08x = 3,091.76 × 828.49
  4. Step 4: Simplify right side
    2,061.08x = 2,561,480.37
  5. Step 5: Solve for x
    x = 2,561,480.37/2,061.08
  6. Step 6: Final answer
    x = 1,242.79

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Why These Related Problems?

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