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Finding the Fourth Proportional to 3,121.72, 4,682.76 and 1,366.76

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Solution

The fourth proportional to 3,121.72, 4,682.76 and 1,366.76 is: 2,050.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.72 : 4,682.76 = 1,366.76 : x
  2. Step 2: Convert to fraction form
    3,121.72/4,682.76 = 1,366.76/x
  3. Step 3: Cross multiply
    3,121.72x = 4,682.76 × 1,366.76
  4. Step 4: Simplify right side
    3,121.72x = 6,400,209.06
  5. Step 5: Solve for x
    x = 6,400,209.06/3,121.72
  6. Step 6: Final answer
    x = 2,050.22

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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.