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Finding the Fourth Proportional to 2,111.50, 3,168.34 and 941.86

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Solution

The fourth proportional to 2,111.50, 3,168.34 and 941.86 is: 1,413.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.50 : 3,168.34 = 941.86 : x
  2. Step 2: Convert to fraction form
    2,111.50/3,168.34 = 941.86/x
  3. Step 3: Cross multiply
    2,111.50x = 3,168.34 × 941.86
  4. Step 4: Simplify right side
    2,111.50x = 2,984,132.71
  5. Step 5: Solve for x
    x = 2,984,132.71/2,111.50
  6. Step 6: Final answer
    x = 1,413.28

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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.