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Finding the Fourth Proportional to 2,006.75, 3,010.23 and 690.50

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Solution

The fourth proportional to 2,006.75, 3,010.23 and 690.50 is: 1,035.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.75 : 3,010.23 = 690.50 : x
  2. Step 2: Convert to fraction form
    2,006.75/3,010.23 = 690.50/x
  3. Step 3: Cross multiply
    2,006.75x = 3,010.23 × 690.50
  4. Step 4: Simplify right side
    2,006.75x = 2,078,563.82
  5. Step 5: Solve for x
    x = 2,078,563.82/2,006.75
  6. Step 6: Final answer
    x = 1,035.79

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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.