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Finding the Fourth Proportional to 2,114.69, 3,172.41 and 728.17

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Solution

The fourth proportional to 2,114.69, 3,172.41 and 728.17 is: 1,092.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.69 : 3,172.41 = 728.17 : x
  2. Step 2: Convert to fraction form
    2,114.69/3,172.41 = 728.17/x
  3. Step 3: Cross multiply
    2,114.69x = 3,172.41 × 728.17
  4. Step 4: Simplify right side
    2,114.69x = 2,310,053.79
  5. Step 5: Solve for x
    x = 2,310,053.79/2,114.69
  6. Step 6: Final answer
    x = 1,092.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.