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Finding the Fourth Proportional to 2,986.94, 4,123.09 and 2,243.04

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Solution

The fourth proportional to 2,986.94, 4,123.09 and 2,243.04 is: 3,096.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.94 : 4,123.09 = 2,243.04 : x
  2. Step 2: Convert to fraction form
    2,986.94/4,123.09 = 2,243.04/x
  3. Step 3: Cross multiply
    2,986.94x = 4,123.09 × 2,243.04
  4. Step 4: Simplify right side
    2,986.94x = 9,248,255.79
  5. Step 5: Solve for x
    x = 9,248,255.79/2,986.94
  6. Step 6: Final answer
    x = 3,096.23

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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.