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Finding the Fourth Proportional to 2,114.86, 3,172.81 and 728.22

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Solution

The fourth proportional to 2,114.86, 3,172.81 and 728.22 is: 1,092.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.86 : 3,172.81 = 728.22 : x
  2. Step 2: Convert to fraction form
    2,114.86/3,172.81 = 728.22/x
  3. Step 3: Cross multiply
    2,114.86x = 3,172.81 × 728.22
  4. Step 4: Simplify right side
    2,114.86x = 2,310,503.70
  5. Step 5: Solve for x
    x = 2,310,503.70/2,114.86
  6. Step 6: Final answer
    x = 1,092.51

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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.