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Finding the Fourth Proportional to 2,673.92, 4,010.79 and 942.50

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Solution

The fourth proportional to 2,673.92, 4,010.79 and 942.50 is: 1,413.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.92 : 4,010.79 = 942.50 : x
  2. Step 2: Convert to fraction form
    2,673.92/4,010.79 = 942.50/x
  3. Step 3: Cross multiply
    2,673.92x = 4,010.79 × 942.50
  4. Step 4: Simplify right side
    2,673.92x = 3,780,169.58
  5. Step 5: Solve for x
    x = 3,780,169.58/2,673.92
  6. Step 6: Final answer
    x = 1,413.72

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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.