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Finding the Fourth Proportional to 3,180, 4,771.92 and 1,356

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Solution

The fourth proportional to 3,180, 4,771.92 and 1,356 is: 2,034.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180 : 4,771.92 = 1,356 : x
  2. Step 2: Convert to fraction form
    3,180/4,771.92 = 1,356/x
  3. Step 3: Cross multiply
    3,180x = 4,771.92 × 1,356
  4. Step 4: Simplify right side
    3,180x = 6,470,723.52
  5. Step 5: Solve for x
    x = 6,470,723.52/3,180
  6. Step 6: Final answer
    x = 2,034.82

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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.