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Finding the Fourth Proportional to 3,180.77, 4,771.16 and 1,306.65

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Solution

The fourth proportional to 3,180.77, 4,771.16 and 1,306.65 is: 1,959.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.77 : 4,771.16 = 1,306.65 : x
  2. Step 2: Convert to fraction form
    3,180.77/4,771.16 = 1,306.65/x
  3. Step 3: Cross multiply
    3,180.77x = 4,771.16 × 1,306.65
  4. Step 4: Simplify right side
    3,180.77x = 6,234,236.21
  5. Step 5: Solve for x
    x = 6,234,236.21/3,180.77
  6. Step 6: Final answer
    x = 1,959.98

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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.