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Finding the Fourth Proportional to 3,194.17, 4,790.94 and 1,002.84

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Solution

The fourth proportional to 3,194.17, 4,790.94 and 1,002.84 is: 1,504.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.17 : 4,790.94 = 1,002.84 : x
  2. Step 2: Convert to fraction form
    3,194.17/4,790.94 = 1,002.84/x
  3. Step 3: Cross multiply
    3,194.17x = 4,790.94 × 1,002.84
  4. Step 4: Simplify right side
    3,194.17x = 4,804,546.27
  5. Step 5: Solve for x
    x = 4,804,546.27/3,194.17
  6. Step 6: Final answer
    x = 1,504.16

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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.