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Finding the Fourth Proportional to 1,996.49, 2,994.60 and 746.84

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Solution

The fourth proportional to 1,996.49, 2,994.60 and 746.84 is: 1,120.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.49 : 2,994.60 = 746.84 : x
  2. Step 2: Convert to fraction form
    1,996.49/2,994.60 = 746.84/x
  3. Step 3: Cross multiply
    1,996.49x = 2,994.60 × 746.84
  4. Step 4: Simplify right side
    1,996.49x = 2,236,472.09
  5. Step 5: Solve for x
    x = 2,236,472.09/1,996.49
  6. Step 6: Final answer
    x = 1,120.20

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1.5x scale

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.