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Finding the Fourth Proportional to 2,874.05, 4,309.44 and 1,313.39

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Solution

The fourth proportional to 2,874.05, 4,309.44 and 1,313.39 is: 1,969.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.05 : 4,309.44 = 1,313.39 : x
  2. Step 2: Convert to fraction form
    2,874.05/4,309.44 = 1,313.39/x
  3. Step 3: Cross multiply
    2,874.05x = 4,309.44 × 1,313.39
  4. Step 4: Simplify right side
    2,874.05x = 5,659,953.85
  5. Step 5: Solve for x
    x = 5,659,953.85/2,874.05
  6. Step 6: Final answer
    x = 1,969.33

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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.