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Finding the Fourth Proportional to 1,982.34, 2,973.42 and 828

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Solution

The fourth proportional to 1,982.34, 2,973.42 and 828 is: 1,241.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.34 : 2,973.42 = 828 : x
  2. Step 2: Convert to fraction form
    1,982.34/2,973.42 = 828/x
  3. Step 3: Cross multiply
    1,982.34x = 2,973.42 × 828
  4. Step 4: Simplify right side
    1,982.34x = 2,461,991.76
  5. Step 5: Solve for x
    x = 2,461,991.76/1,982.34
  6. Step 6: Final answer
    x = 1,241.96

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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.