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Finding the Fourth Proportional to 2,105.20, 3,155.37 and 995.32

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Solution

The fourth proportional to 2,105.20, 3,155.37 and 995.32 is: 1,491.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.20 : 3,155.37 = 995.32 : x
  2. Step 2: Convert to fraction form
    2,105.20/3,155.37 = 995.32/x
  3. Step 3: Cross multiply
    2,105.20x = 3,155.37 × 995.32
  4. Step 4: Simplify right side
    2,105.20x = 3,140,602.87
  5. Step 5: Solve for x
    x = 3,140,602.87/2,105.20
  6. Step 6: Final answer
    x = 1,491.83

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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.