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Finding the Fourth Proportional to 1,996.50, 2,994.75 and 842.34

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Solution

The fourth proportional to 1,996.50, 2,994.75 and 842.34 is: 1,263.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.50 : 2,994.75 = 842.34 : x
  2. Step 2: Convert to fraction form
    1,996.50/2,994.75 = 842.34/x
  3. Step 3: Cross multiply
    1,996.50x = 2,994.75 × 842.34
  4. Step 4: Simplify right side
    1,996.50x = 2,522,597.72
  5. Step 5: Solve for x
    x = 2,522,597.72/1,996.50
  6. Step 6: Final answer
    x = 1,263.51

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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.