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Finding the Fourth Proportional to 3,171.86, 4,756.62 and 1,091.30

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Solution

The fourth proportional to 3,171.86, 4,756.62 and 1,091.30 is: 1,636.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.86 : 4,756.62 = 1,091.30 : x
  2. Step 2: Convert to fraction form
    3,171.86/4,756.62 = 1,091.30/x
  3. Step 3: Cross multiply
    3,171.86x = 4,756.62 × 1,091.30
  4. Step 4: Simplify right side
    3,171.86x = 5,190,879.72
  5. Step 5: Solve for x
    x = 5,190,879.72/3,171.86
  6. Step 6: Final answer
    x = 1,636.54

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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.