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Finding the Fourth Proportional to 2,740.26, 4,110.66 and 792.42

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Solution

The fourth proportional to 2,740.26, 4,110.66 and 792.42 is: 1,188.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.26 : 4,110.66 = 792.42 : x
  2. Step 2: Convert to fraction form
    2,740.26/4,110.66 = 792.42/x
  3. Step 3: Cross multiply
    2,740.26x = 4,110.66 × 792.42
  4. Step 4: Simplify right side
    2,740.26x = 3,257,369.20
  5. Step 5: Solve for x
    x = 3,257,369.20/2,740.26
  6. Step 6: Final answer
    x = 1,188.71

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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.