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Finding the Fourth Proportional to 2,846.28, 3,923.64 and 2,004.24

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Solution

The fourth proportional to 2,846.28, 3,923.64 and 2,004.24 is: 2,762.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.28 : 3,923.64 = 2,004.24 : x
  2. Step 2: Convert to fraction form
    2,846.28/3,923.64 = 2,004.24/x
  3. Step 3: Cross multiply
    2,846.28x = 3,923.64 × 2,004.24
  4. Step 4: Simplify right side
    2,846.28x = 7,863,916.23
  5. Step 5: Solve for x
    x = 7,863,916.23/2,846.28
  6. Step 6: Final answer
    x = 2,762.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.