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Finding the Fourth Proportional to 3,164.70, 4,747.56 and 1,190.49

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Solution

The fourth proportional to 3,164.70, 4,747.56 and 1,190.49 is: 1,785.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.70 : 4,747.56 = 1,190.49 : x
  2. Step 2: Convert to fraction form
    3,164.70/4,747.56 = 1,190.49/x
  3. Step 3: Cross multiply
    3,164.70x = 4,747.56 × 1,190.49
  4. Step 4: Simplify right side
    3,164.70x = 5,651,922.70
  5. Step 5: Solve for x
    x = 5,651,922.70/3,164.70
  6. Step 6: Final answer
    x = 1,785.93

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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.