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Finding the Fourth Proportional to 1,923.45, 2,884.56 and 949.43

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Solution

The fourth proportional to 1,923.45, 2,884.56 and 949.43 is: 1,423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.45 : 2,884.56 = 949.43 : x
  2. Step 2: Convert to fraction form
    1,923.45/2,884.56 = 949.43/x
  3. Step 3: Cross multiply
    1,923.45x = 2,884.56 × 949.43
  4. Step 4: Simplify right side
    1,923.45x = 2,738,673.38
  5. Step 5: Solve for x
    x = 2,738,673.38/1,923.45
  6. Step 6: Final answer
    x = 1,423.83

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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.