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Finding the Fourth Proportional to 3,147.76, 4,718.76 and 1,198.48

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Solution

The fourth proportional to 3,147.76, 4,718.76 and 1,198.48 is: 1,796.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.76 : 4,718.76 = 1,198.48 : x
  2. Step 2: Convert to fraction form
    3,147.76/4,718.76 = 1,198.48/x
  3. Step 3: Cross multiply
    3,147.76x = 4,718.76 × 1,198.48
  4. Step 4: Simplify right side
    3,147.76x = 5,655,339.48
  5. Step 5: Solve for x
    x = 5,655,339.48/3,147.76
  6. Step 6: Final answer
    x = 1,796.62

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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.