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Finding the Fourth Proportional to 2,619.20, 3,928.80 and 671.55

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Solution

The fourth proportional to 2,619.20, 3,928.80 and 671.55 is: 1,007.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.20 : 3,928.80 = 671.55 : x
  2. Step 2: Convert to fraction form
    2,619.20/3,928.80 = 671.55/x
  3. Step 3: Cross multiply
    2,619.20x = 3,928.80 × 671.55
  4. Step 4: Simplify right side
    2,619.20x = 2,638,385.64
  5. Step 5: Solve for x
    x = 2,638,385.64/2,619.20
  6. Step 6: Final answer
    x = 1,007.33

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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.