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Finding the Fourth Proportional to 2,746.27, 4,119.30 and 798.49

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Solution

The fourth proportional to 2,746.27, 4,119.30 and 798.49 is: 1,197.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.27 : 4,119.30 = 798.49 : x
  2. Step 2: Convert to fraction form
    2,746.27/4,119.30 = 798.49/x
  3. Step 3: Cross multiply
    2,746.27x = 4,119.30 × 798.49
  4. Step 4: Simplify right side
    2,746.27x = 3,289,219.86
  5. Step 5: Solve for x
    x = 3,289,219.86/2,746.27
  6. Step 6: Final answer
    x = 1,197.70

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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.