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Finding the Fourth Proportional to 2,635.67, 3,951.43 and 1,811.49

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Solution

The fourth proportional to 2,635.67, 3,951.43 and 1,811.49 is: 2,715.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.67 : 3,951.43 = 1,811.49 : x
  2. Step 2: Convert to fraction form
    2,635.67/3,951.43 = 1,811.49/x
  3. Step 3: Cross multiply
    2,635.67x = 3,951.43 × 1,811.49
  4. Step 4: Simplify right side
    2,635.67x = 7,157,975.93
  5. Step 5: Solve for x
    x = 7,157,975.93/2,635.67
  6. Step 6: Final answer
    x = 2,715.81

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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.