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Finding the Fourth Proportional to 1,724.97, 2,583.33 and 943.80

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Solution

The fourth proportional to 1,724.97, 2,583.33 and 943.80 is: 1,413.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.97 : 2,583.33 = 943.80 : x
  2. Step 2: Convert to fraction form
    1,724.97/2,583.33 = 943.80/x
  3. Step 3: Cross multiply
    1,724.97x = 2,583.33 × 943.80
  4. Step 4: Simplify right side
    1,724.97x = 2,438,146.85
  5. Step 5: Solve for x
    x = 2,438,146.85/1,724.97
  6. Step 6: Final answer
    x = 1,413.44

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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.