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Finding the Fourth Proportional to 2,480.76, 3,720.96 and 1,019.88

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Solution

The fourth proportional to 2,480.76, 3,720.96 and 1,019.88 is: 1,529.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.76 : 3,720.96 = 1,019.88 : x
  2. Step 2: Convert to fraction form
    2,480.76/3,720.96 = 1,019.88/x
  3. Step 3: Cross multiply
    2,480.76x = 3,720.96 × 1,019.88
  4. Step 4: Simplify right side
    2,480.76x = 3,794,932.68
  5. Step 5: Solve for x
    x = 3,794,932.68/2,480.76
  6. Step 6: Final answer
    x = 1,529.75

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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.