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Finding the Fourth Proportional to 2,746.82, 4,119.96 and 799.04

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Solution

The fourth proportional to 2,746.82, 4,119.96 and 799.04 is: 1,198.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.82 : 4,119.96 = 799.04 : x
  2. Step 2: Convert to fraction form
    2,746.82/4,119.96 = 799.04/x
  3. Step 3: Cross multiply
    2,746.82x = 4,119.96 × 799.04
  4. Step 4: Simplify right side
    2,746.82x = 3,292,012.84
  5. Step 5: Solve for x
    x = 3,292,012.84/2,746.82
  6. Step 6: Final answer
    x = 1,198.48

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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.