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Finding the Fourth Proportional to 1,982.56, 2,974.08 and 828.16

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Solution

The fourth proportional to 1,982.56, 2,974.08 and 828.16 is: 1,242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.56 : 2,974.08 = 828.16 : x
  2. Step 2: Convert to fraction form
    1,982.56/2,974.08 = 828.16/x
  3. Step 3: Cross multiply
    1,982.56x = 2,974.08 × 828.16
  4. Step 4: Simplify right side
    1,982.56x = 2,463,014.09
  5. Step 5: Solve for x
    x = 2,463,014.09/1,982.56
  6. Step 6: Final answer
    x = 1,242.34

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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.