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Finding the Fourth Proportional to 3,193.95, 4,791.13 and 1,002.77

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Solution

The fourth proportional to 3,193.95, 4,791.13 and 1,002.77 is: 1,504.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.95 : 4,791.13 = 1,002.77 : x
  2. Step 2: Convert to fraction form
    3,193.95/4,791.13 = 1,002.77/x
  3. Step 3: Cross multiply
    3,193.95x = 4,791.13 × 1,002.77
  4. Step 4: Simplify right side
    3,193.95x = 4,804,396.69
  5. Step 5: Solve for x
    x = 4,804,396.69/3,193.95
  6. Step 6: Final answer
    x = 1,504.22

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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.