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Finding the Fourth Proportional to 3,072.28, 4,609.13 and 1,223.50

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Solution

The fourth proportional to 3,072.28, 4,609.13 and 1,223.50 is: 1,835.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.28 : 4,609.13 = 1,223.50 : x
  2. Step 2: Convert to fraction form
    3,072.28/4,609.13 = 1,223.50/x
  3. Step 3: Cross multiply
    3,072.28x = 4,609.13 × 1,223.50
  4. Step 4: Simplify right side
    3,072.28x = 5,639,270.56
  5. Step 5: Solve for x
    x = 5,639,270.56/3,072.28
  6. Step 6: Final answer
    x = 1,835.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.