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Finding the Fourth Proportional to 2,619.12, 3,928.32 and 1,524

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Solution

The fourth proportional to 2,619.12, 3,928.32 and 1,524 is: 2,285.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.12 : 3,928.32 = 1,524 : x
  2. Step 2: Convert to fraction form
    2,619.12/3,928.32 = 1,524/x
  3. Step 3: Cross multiply
    2,619.12x = 3,928.32 × 1,524
  4. Step 4: Simplify right side
    2,619.12x = 5,986,759.68
  5. Step 5: Solve for x
    x = 5,986,759.68/2,619.12
  6. Step 6: Final answer
    x = 2,285.79

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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.