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Finding the Fourth Proportional to 3,171.60, 4,760.28 and 2,247.48

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Solution

The fourth proportional to 3,171.60, 4,760.28 and 2,247.48 is: 3,373.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.60 : 4,760.28 = 2,247.48 : x
  2. Step 2: Convert to fraction form
    3,171.60/4,760.28 = 2,247.48/x
  3. Step 3: Cross multiply
    3,171.60x = 4,760.28 × 2,247.48
  4. Step 4: Simplify right side
    3,171.60x = 10,698,634.09
  5. Step 5: Solve for x
    x = 10,698,634.09/3,171.60
  6. Step 6: Final answer
    x = 3,373.26

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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.