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Finding the Fourth Proportional to 2,746.44, 4,119.30 and 798.84

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Solution

The fourth proportional to 2,746.44, 4,119.30 and 798.84 is: 1,198.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.44 : 4,119.30 = 798.84 : x
  2. Step 2: Convert to fraction form
    2,746.44/4,119.30 = 798.84/x
  3. Step 3: Cross multiply
    2,746.44x = 4,119.30 × 798.84
  4. Step 4: Simplify right side
    2,746.44x = 3,290,661.61
  5. Step 5: Solve for x
    x = 3,290,661.61/2,746.44
  6. Step 6: Final answer
    x = 1,198.16

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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.