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Finding the Fourth Proportional to 3,194.66, 4,792.30 and 1,003.73

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Solution

The fourth proportional to 3,194.66, 4,792.30 and 1,003.73 is: 1,505.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.66 : 4,792.30 = 1,003.73 : x
  2. Step 2: Convert to fraction form
    3,194.66/4,792.30 = 1,003.73/x
  3. Step 3: Cross multiply
    3,194.66x = 4,792.30 × 1,003.73
  4. Step 4: Simplify right side
    3,194.66x = 4,810,148.81
  5. Step 5: Solve for x
    x = 4,810,148.81/3,194.66
  6. Step 6: Final answer
    x = 1,505.68

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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.