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Finding the Fourth Proportional to 2,072.44, 3,108.73 and 611.47

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Solution

The fourth proportional to 2,072.44, 3,108.73 and 611.47 is: 917.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.44 : 3,108.73 = 611.47 : x
  2. Step 2: Convert to fraction form
    2,072.44/3,108.73 = 611.47/x
  3. Step 3: Cross multiply
    2,072.44x = 3,108.73 × 611.47
  4. Step 4: Simplify right side
    2,072.44x = 1,900,895.13
  5. Step 5: Solve for x
    x = 1,900,895.13/2,072.44
  6. Step 6: Final answer
    x = 917.23

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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.