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Finding the Fourth Proportional to 3,193.93, 4,791.12 and 1,002.83

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Solution

The fourth proportional to 3,193.93, 4,791.12 and 1,002.83 is: 1,504.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.93 : 4,791.12 = 1,002.83 : x
  2. Step 2: Convert to fraction form
    3,193.93/4,791.12 = 1,002.83/x
  3. Step 3: Cross multiply
    3,193.93x = 4,791.12 × 1,002.83
  4. Step 4: Simplify right side
    3,193.93x = 4,804,686.56
  5. Step 5: Solve for x
    x = 4,804,686.56/3,193.93
  6. Step 6: Final answer
    x = 1,504.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.