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Finding the Fourth Proportional to 2,824.33, 4,236.75 and 744.30

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Solution

The fourth proportional to 2,824.33, 4,236.75 and 744.30 is: 1,116.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.33 : 4,236.75 = 744.30 : x
  2. Step 2: Convert to fraction form
    2,824.33/4,236.75 = 744.30/x
  3. Step 3: Cross multiply
    2,824.33x = 4,236.75 × 744.30
  4. Step 4: Simplify right side
    2,824.33x = 3,153,413.03
  5. Step 5: Solve for x
    x = 3,153,413.03/2,824.33
  6. Step 6: Final answer
    x = 1,116.52

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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.