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Finding the Fourth Proportional to 2,994.63, 4,491.94 and 942.63

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Solution

The fourth proportional to 2,994.63, 4,491.94 and 942.63 is: 1,413.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.63 : 4,491.94 = 942.63 : x
  2. Step 2: Convert to fraction form
    2,994.63/4,491.94 = 942.63/x
  3. Step 3: Cross multiply
    2,994.63x = 4,491.94 × 942.63
  4. Step 4: Simplify right side
    2,994.63x = 4,234,237.40
  5. Step 5: Solve for x
    x = 4,234,237.40/2,994.63
  6. Step 6: Final answer
    x = 1,413.94

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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.