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Finding the Fourth Proportional to 3,146.88, 4,720.72 and 1,198.82

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Solution

The fourth proportional to 3,146.88, 4,720.72 and 1,198.82 is: 1,798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.88 : 4,720.72 = 1,198.82 : x
  2. Step 2: Convert to fraction form
    3,146.88/4,720.72 = 1,198.82/x
  3. Step 3: Cross multiply
    3,146.88x = 4,720.72 × 1,198.82
  4. Step 4: Simplify right side
    3,146.88x = 5,659,293.55
  5. Step 5: Solve for x
    x = 5,659,293.55/3,146.88
  6. Step 6: Final answer
    x = 1,798.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.