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Finding the Fourth Proportional to 1,997.70, 2,996.60 and 536.96

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Solution

The fourth proportional to 1,997.70, 2,996.60 and 536.96 is: 805.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.70 : 2,996.60 = 536.96 : x
  2. Step 2: Convert to fraction form
    1,997.70/2,996.60 = 536.96/x
  3. Step 3: Cross multiply
    1,997.70x = 2,996.60 × 536.96
  4. Step 4: Simplify right side
    1,997.70x = 1,609,059.14
  5. Step 5: Solve for x
    x = 1,609,059.14/1,997.70
  6. Step 6: Final answer
    x = 805.46

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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.