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Finding the Fourth Proportional to 3,171.44, 4,757.24 and 980.16

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Solution

The fourth proportional to 3,171.44, 4,757.24 and 980.16 is: 1,470.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.44 : 4,757.24 = 980.16 : x
  2. Step 2: Convert to fraction form
    3,171.44/4,757.24 = 980.16/x
  3. Step 3: Cross multiply
    3,171.44x = 4,757.24 × 980.16
  4. Step 4: Simplify right side
    3,171.44x = 4,662,856.36
  5. Step 5: Solve for x
    x = 4,662,856.36/3,171.44
  6. Step 6: Final answer
    x = 1,470.26

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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.