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Finding the Fourth Proportional to 2,084.11, 3,125.41 and 850.86

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Solution

The fourth proportional to 2,084.11, 3,125.41 and 850.86 is: 1,275.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.11 : 3,125.41 = 850.86 : x
  2. Step 2: Convert to fraction form
    2,084.11/3,125.41 = 850.86/x
  3. Step 3: Cross multiply
    2,084.11x = 3,125.41 × 850.86
  4. Step 4: Simplify right side
    2,084.11x = 2,659,284.23
  5. Step 5: Solve for x
    x = 2,659,284.23/2,084.11
  6. Step 6: Final answer
    x = 1,275.98

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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.