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Finding the Fourth Proportional to 3,190.24, 4,785.72 and 850.34

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Solution

The fourth proportional to 3,190.24, 4,785.72 and 850.34 is: 1,275.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.24 : 4,785.72 = 850.34 : x
  2. Step 2: Convert to fraction form
    3,190.24/4,785.72 = 850.34/x
  3. Step 3: Cross multiply
    3,190.24x = 4,785.72 × 850.34
  4. Step 4: Simplify right side
    3,190.24x = 4,069,489.14
  5. Step 5: Solve for x
    x = 4,069,489.14/3,190.24
  6. Step 6: Final answer
    x = 1,275.61

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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.