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Finding the Fourth Proportional to 3,169.87, 4,751.39 and 1,320.49

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Solution

The fourth proportional to 3,169.87, 4,751.39 and 1,320.49 is: 1,979.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.87 : 4,751.39 = 1,320.49 : x
  2. Step 2: Convert to fraction form
    3,169.87/4,751.39 = 1,320.49/x
  3. Step 3: Cross multiply
    3,169.87x = 4,751.39 × 1,320.49
  4. Step 4: Simplify right side
    3,169.87x = 6,274,162.98
  5. Step 5: Solve for x
    x = 6,274,162.98/3,169.87
  6. Step 6: Final answer
    x = 1,979.31

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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.