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Finding the Fourth Proportional to 2,438.26, 3,658.20 and 794.86

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Solution

The fourth proportional to 2,438.26, 3,658.20 and 794.86 is: 1,192.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.26 : 3,658.20 = 794.86 : x
  2. Step 2: Convert to fraction form
    2,438.26/3,658.20 = 794.86/x
  3. Step 3: Cross multiply
    2,438.26x = 3,658.20 × 794.86
  4. Step 4: Simplify right side
    2,438.26x = 2,907,756.85
  5. Step 5: Solve for x
    x = 2,907,756.85/2,438.26
  6. Step 6: Final answer
    x = 1,192.55

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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.