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Finding the Fourth Proportional to 3,190.17, 4,785.49 and 850.16

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Solution

The fourth proportional to 3,190.17, 4,785.49 and 850.16 is: 1,275.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.17 : 4,785.49 = 850.16 : x
  2. Step 2: Convert to fraction form
    3,190.17/4,785.49 = 850.16/x
  3. Step 3: Cross multiply
    3,190.17x = 4,785.49 × 850.16
  4. Step 4: Simplify right side
    3,190.17x = 4,068,451.11
  5. Step 5: Solve for x
    x = 4,068,451.11/3,190.17
  6. Step 6: Final answer
    x = 1,275.31

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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.