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Finding the Fourth Proportional to 3,193.83, 4,791.20 and 1,002.74

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Solution

The fourth proportional to 3,193.83, 4,791.20 and 1,002.74 is: 1,504.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.83 : 4,791.20 = 1,002.74 : x
  2. Step 2: Convert to fraction form
    3,193.83/4,791.20 = 1,002.74/x
  3. Step 3: Cross multiply
    3,193.83x = 4,791.20 × 1,002.74
  4. Step 4: Simplify right side
    3,193.83x = 4,804,298.92
  5. Step 5: Solve for x
    x = 4,804,298.92/3,193.83
  6. Step 6: Final answer
    x = 1,504.24

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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.