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Finding the Fourth Proportional to 3,171.33, 4,759.74 and 1,224.90

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Solution

The fourth proportional to 3,171.33, 4,759.74 and 1,224.90 is: 1,838.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.33 : 4,759.74 = 1,224.90 : x
  2. Step 2: Convert to fraction form
    3,171.33/4,759.74 = 1,224.90/x
  3. Step 3: Cross multiply
    3,171.33x = 4,759.74 × 1,224.90
  4. Step 4: Simplify right side
    3,171.33x = 5,830,205.53
  5. Step 5: Solve for x
    x = 5,830,205.53/3,171.33
  6. Step 6: Final answer
    x = 1,838.41

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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.