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Finding the Fourth Proportional to 2,746.05, 4,119.71 and 798.19

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Solution

The fourth proportional to 2,746.05, 4,119.71 and 798.19 is: 1,197.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.05 : 4,119.71 = 798.19 : x
  2. Step 2: Convert to fraction form
    2,746.05/4,119.71 = 798.19/x
  3. Step 3: Cross multiply
    2,746.05x = 4,119.71 × 798.19
  4. Step 4: Simplify right side
    2,746.05x = 3,288,311.32
  5. Step 5: Solve for x
    x = 3,288,311.32/2,746.05
  6. Step 6: Final answer
    x = 1,197.47

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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.