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Finding the Fourth Proportional to 2,619.28, 3,928.90 and 671.47

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Solution

The fourth proportional to 2,619.28, 3,928.90 and 671.47 is: 1,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.28 : 3,928.90 = 671.47 : x
  2. Step 2: Convert to fraction form
    2,619.28/3,928.90 = 671.47/x
  3. Step 3: Cross multiply
    2,619.28x = 3,928.90 × 671.47
  4. Step 4: Simplify right side
    2,619.28x = 2,638,138.48
  5. Step 5: Solve for x
    x = 2,638,138.48/2,619.28
  6. Step 6: Final answer
    x = 1,007.20

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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.