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Finding the Fourth Proportional to 2,006.95, 3,010.47 and 911.22

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Solution

The fourth proportional to 2,006.95, 3,010.47 and 911.22 is: 1,366.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.95 : 3,010.47 = 911.22 : x
  2. Step 2: Convert to fraction form
    2,006.95/3,010.47 = 911.22/x
  3. Step 3: Cross multiply
    2,006.95x = 3,010.47 × 911.22
  4. Step 4: Simplify right side
    2,006.95x = 2,743,200.47
  5. Step 5: Solve for x
    x = 2,743,200.47/2,006.95
  6. Step 6: Final answer
    x = 1,366.85

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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.