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Finding the Fourth Proportional to 2,433.76, 3,649.24 and 1,198.48

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Solution

The fourth proportional to 2,433.76, 3,649.24 and 1,198.48 is: 1,797.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.76 : 3,649.24 = 1,198.48 : x
  2. Step 2: Convert to fraction form
    2,433.76/3,649.24 = 1,198.48/x
  3. Step 3: Cross multiply
    2,433.76x = 3,649.24 × 1,198.48
  4. Step 4: Simplify right side
    2,433.76x = 4,373,541.16
  5. Step 5: Solve for x
    x = 4,373,541.16/2,433.76
  6. Step 6: Final answer
    x = 1,797.03

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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.