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Finding the Fourth Proportional to 2,480.96, 3,721.47 and 1,019.78

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Solution

The fourth proportional to 2,480.96, 3,721.47 and 1,019.78 is: 1,529.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.96 : 3,721.47 = 1,019.78 : x
  2. Step 2: Convert to fraction form
    2,480.96/3,721.47 = 1,019.78/x
  3. Step 3: Cross multiply
    2,480.96x = 3,721.47 × 1,019.78
  4. Step 4: Simplify right side
    2,480.96x = 3,795,080.68
  5. Step 5: Solve for x
    x = 3,795,080.68/2,480.96
  6. Step 6: Final answer
    x = 1,529.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.