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Finding the Fourth Proportional to 3,163.88, 4,745.82 and 1,519.40

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Solution

The fourth proportional to 3,163.88, 4,745.82 and 1,519.40 is: 2,279.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.88 : 4,745.82 = 1,519.40 : x
  2. Step 2: Convert to fraction form
    3,163.88/4,745.82 = 1,519.40/x
  3. Step 3: Cross multiply
    3,163.88x = 4,745.82 × 1,519.40
  4. Step 4: Simplify right side
    3,163.88x = 7,210,798.91
  5. Step 5: Solve for x
    x = 7,210,798.91/3,163.88
  6. Step 6: Final answer
    x = 2,279.10

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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.