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Finding the Fourth Proportional to 2,792.63, 4,190.09 and 1,231.80

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Solution

The fourth proportional to 2,792.63, 4,190.09 and 1,231.80 is: 1,848.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.63 : 4,190.09 = 1,231.80 : x
  2. Step 2: Convert to fraction form
    2,792.63/4,190.09 = 1,231.80/x
  3. Step 3: Cross multiply
    2,792.63x = 4,190.09 × 1,231.80
  4. Step 4: Simplify right side
    2,792.63x = 5,161,346.70
  5. Step 5: Solve for x
    x = 5,161,346.70/2,792.63
  6. Step 6: Final answer
    x = 1,848.21

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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.