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Finding the Fourth Proportional to 3,142.94, 4,338.98 and 2,149.67

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Solution

The fourth proportional to 3,142.94, 4,338.98 and 2,149.67 is: 2,967.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.94 : 4,338.98 = 2,149.67 : x
  2. Step 2: Convert to fraction form
    3,142.94/4,338.98 = 2,149.67/x
  3. Step 3: Cross multiply
    3,142.94x = 4,338.98 × 2,149.67
  4. Step 4: Simplify right side
    3,142.94x = 9,327,375.14
  5. Step 5: Solve for x
    x = 9,327,375.14/3,142.94
  6. Step 6: Final answer
    x = 2,967.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.