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Finding the Fourth Proportional to 2,129.70, 3,179.12 and 1,969.32

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Solution

The fourth proportional to 2,129.70, 3,179.12 and 1,969.32 is: 2,939.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.70 : 3,179.12 = 1,969.32 : x
  2. Step 2: Convert to fraction form
    2,129.70/3,179.12 = 1,969.32/x
  3. Step 3: Cross multiply
    2,129.70x = 3,179.12 × 1,969.32
  4. Step 4: Simplify right side
    2,129.70x = 6,260,694.75
  5. Step 5: Solve for x
    x = 6,260,694.75/2,129.70
  6. Step 6: Final answer
    x = 2,939.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.