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Finding the Fourth Proportional to 2,480.46, 3,721.20 and 1,019.71

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Solution

The fourth proportional to 2,480.46, 3,721.20 and 1,019.71 is: 1,529.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.46 : 3,721.20 = 1,019.71 : x
  2. Step 2: Convert to fraction form
    2,480.46/3,721.20 = 1,019.71/x
  3. Step 3: Cross multiply
    2,480.46x = 3,721.20 × 1,019.71
  4. Step 4: Simplify right side
    2,480.46x = 3,794,544.85
  5. Step 5: Solve for x
    x = 3,794,544.85/2,480.46
  6. Step 6: Final answer
    x = 1,529.77

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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.