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Finding the Fourth Proportional to 2,729.42, 3,791.86 and 2,703.75

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Solution

The fourth proportional to 2,729.42, 3,791.86 and 2,703.75 is: 3,756.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.42 : 3,791.86 = 2,703.75 : x
  2. Step 2: Convert to fraction form
    2,729.42/3,791.86 = 2,703.75/x
  3. Step 3: Cross multiply
    2,729.42x = 3,791.86 × 2,703.75
  4. Step 4: Simplify right side
    2,729.42x = 10,252,267.70
  5. Step 5: Solve for x
    x = 10,252,267.70/2,729.42
  6. Step 6: Final answer
    x = 3,756.21

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.