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Finding the Fourth Proportional to 3,190.37, 4,785.56 and 850.38

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Solution

The fourth proportional to 3,190.37, 4,785.56 and 850.38 is: 1,275.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.37 : 4,785.56 = 850.38 : x
  2. Step 2: Convert to fraction form
    3,190.37/4,785.56 = 850.38/x
  3. Step 3: Cross multiply
    3,190.37x = 4,785.56 × 850.38
  4. Step 4: Simplify right side
    3,190.37x = 4,069,544.51
  5. Step 5: Solve for x
    x = 4,069,544.51/3,190.37
  6. Step 6: Final answer
    x = 1,275.57

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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.