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Finding the Fourth Proportional to 3,190.42, 4,785.62 and 850.67

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Solution

The fourth proportional to 3,190.42, 4,785.62 and 850.67 is: 1,276.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.42 : 4,785.62 = 850.67 : x
  2. Step 2: Convert to fraction form
    3,190.42/4,785.62 = 850.67/x
  3. Step 3: Cross multiply
    3,190.42x = 4,785.62 × 850.67
  4. Step 4: Simplify right side
    3,190.42x = 4,070,973.13
  5. Step 5: Solve for x
    x = 4,070,973.13/3,190.42
  6. Step 6: Final answer
    x = 1,276.00

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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.