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Finding the Fourth Proportional to 2,792.75, 4,188.96 and 1,232.33

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Solution

The fourth proportional to 2,792.75, 4,188.96 and 1,232.33 is: 1,848.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.75 : 4,188.96 = 1,232.33 : x
  2. Step 2: Convert to fraction form
    2,792.75/4,188.96 = 1,232.33/x
  3. Step 3: Cross multiply
    2,792.75x = 4,188.96 × 1,232.33
  4. Step 4: Simplify right side
    2,792.75x = 5,162,160.13
  5. Step 5: Solve for x
    x = 5,162,160.13/2,792.75
  6. Step 6: Final answer
    x = 1,848.42

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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.