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Finding the Fourth Proportional to 2,072.70, 3,109.05 and 611.87

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Solution

The fourth proportional to 2,072.70, 3,109.05 and 611.87 is: 917.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.70 : 3,109.05 = 611.87 : x
  2. Step 2: Convert to fraction form
    2,072.70/3,109.05 = 611.87/x
  3. Step 3: Cross multiply
    2,072.70x = 3,109.05 × 611.87
  4. Step 4: Simplify right side
    2,072.70x = 1,902,318.88
  5. Step 5: Solve for x
    x = 1,902,318.88/2,072.70
  6. Step 6: Final answer
    x = 917.80

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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.