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Finding the Fourth Proportional to 3,010.86, 4,504.95 and 1,942.47

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Solution

The fourth proportional to 3,010.86, 4,504.95 and 1,942.47 is: 2,906.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.86 : 4,504.95 = 1,942.47 : x
  2. Step 2: Convert to fraction form
    3,010.86/4,504.95 = 1,942.47/x
  3. Step 3: Cross multiply
    3,010.86x = 4,504.95 × 1,942.47
  4. Step 4: Simplify right side
    3,010.86x = 8,750,730.23
  5. Step 5: Solve for x
    x = 8,750,730.23/3,010.86
  6. Step 6: Final answer
    x = 2,906.39

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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.