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Finding the Fourth Proportional to 1,949.68, 2,923.82 and 716.82

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Solution

The fourth proportional to 1,949.68, 2,923.82 and 716.82 is: 1,074.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.68 : 2,923.82 = 716.82 : x
  2. Step 2: Convert to fraction form
    1,949.68/2,923.82 = 716.82/x
  3. Step 3: Cross multiply
    1,949.68x = 2,923.82 × 716.82
  4. Step 4: Simplify right side
    1,949.68x = 2,095,838.03
  5. Step 5: Solve for x
    x = 2,095,838.03/1,949.68
  6. Step 6: Final answer
    x = 1,074.97

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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.