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Finding the Fourth Proportional to 2,061.26, 3,093.14 and 828.51

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Solution

The fourth proportional to 2,061.26, 3,093.14 and 828.51 is: 1,243.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.26 : 3,093.14 = 828.51 : x
  2. Step 2: Convert to fraction form
    2,061.26/3,093.14 = 828.51/x
  3. Step 3: Cross multiply
    2,061.26x = 3,093.14 × 828.51
  4. Step 4: Simplify right side
    2,061.26x = 2,562,697.42
  5. Step 5: Solve for x
    x = 2,562,697.42/2,061.26
  6. Step 6: Final answer
    x = 1,243.27

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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.