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Finding the Fourth Proportional to 2,007.09, 3,010.97 and 620.11

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Solution

The fourth proportional to 2,007.09, 3,010.97 and 620.11 is: 930.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.09 : 3,010.97 = 620.11 : x
  2. Step 2: Convert to fraction form
    2,007.09/3,010.97 = 620.11/x
  3. Step 3: Cross multiply
    2,007.09x = 3,010.97 × 620.11
  4. Step 4: Simplify right side
    2,007.09x = 1,867,132.61
  5. Step 5: Solve for x
    x = 1,867,132.61/2,007.09
  6. Step 6: Final answer
    x = 930.27

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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.