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Finding the Fourth Proportional to 2,746.12, 4,119.30 and 798.33

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Solution

The fourth proportional to 2,746.12, 4,119.30 and 798.33 is: 1,197.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.12 : 4,119.30 = 798.33 : x
  2. Step 2: Convert to fraction form
    2,746.12/4,119.30 = 798.33/x
  3. Step 3: Cross multiply
    2,746.12x = 4,119.30 × 798.33
  4. Step 4: Simplify right side
    2,746.12x = 3,288,560.77
  5. Step 5: Solve for x
    x = 3,288,560.77/2,746.12
  6. Step 6: Final answer
    x = 1,197.53

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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.