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Finding the Fourth Proportional to 2,010.62, 3,016.89 and 712.70

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Solution

The fourth proportional to 2,010.62, 3,016.89 and 712.70 is: 1,069.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.62 : 3,016.89 = 712.70 : x
  2. Step 2: Convert to fraction form
    2,010.62/3,016.89 = 712.70/x
  3. Step 3: Cross multiply
    2,010.62x = 3,016.89 × 712.70
  4. Step 4: Simplify right side
    2,010.62x = 2,150,137.50
  5. Step 5: Solve for x
    x = 2,150,137.50/2,010.62
  6. Step 6: Final answer
    x = 1,069.39

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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.