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Finding the Fourth Proportional to 1,724.25, 2,584.04 and 943.07

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Solution

The fourth proportional to 1,724.25, 2,584.04 and 943.07 is: 1,413.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.25 : 2,584.04 = 943.07 : x
  2. Step 2: Convert to fraction form
    1,724.25/2,584.04 = 943.07/x
  3. Step 3: Cross multiply
    1,724.25x = 2,584.04 × 943.07
  4. Step 4: Simplify right side
    1,724.25x = 2,436,939.42
  5. Step 5: Solve for x
    x = 2,436,939.42/1,724.25
  6. Step 6: Final answer
    x = 1,413.33

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1.5x scale

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.