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Finding the Fourth Proportional to 3,178.95, 4,764.16 and 1,791.73

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Solution

The fourth proportional to 3,178.95, 4,764.16 and 1,791.73 is: 2,685.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.95 : 4,764.16 = 1,791.73 : x
  2. Step 2: Convert to fraction form
    3,178.95/4,764.16 = 1,791.73/x
  3. Step 3: Cross multiply
    3,178.95x = 4,764.16 × 1,791.73
  4. Step 4: Simplify right side
    3,178.95x = 8,536,088.40
  5. Step 5: Solve for x
    x = 8,536,088.40/3,178.95
  6. Step 6: Final answer
    x = 2,685.19

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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.