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Finding the Fourth Proportional to 3,194.97, 4,792.45 and 1,003.89

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Solution

The fourth proportional to 3,194.97, 4,792.45 and 1,003.89 is: 1,505.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.97 : 4,792.45 = 1,003.89 : x
  2. Step 2: Convert to fraction form
    3,194.97/4,792.45 = 1,003.89/x
  3. Step 3: Cross multiply
    3,194.97x = 4,792.45 × 1,003.89
  4. Step 4: Simplify right side
    3,194.97x = 4,811,066.16
  5. Step 5: Solve for x
    x = 4,811,066.16/3,194.97
  6. Step 6: Final answer
    x = 1,505.83

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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.