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Finding the Fourth Proportional to 3,171.37, 4,753.64 and 1,321.99

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Solution

The fourth proportional to 3,171.37, 4,753.64 and 1,321.99 is: 1,981.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.37 : 4,753.64 = 1,321.99 : x
  2. Step 2: Convert to fraction form
    3,171.37/4,753.64 = 1,321.99/x
  3. Step 3: Cross multiply
    3,171.37x = 4,753.64 × 1,321.99
  4. Step 4: Simplify right side
    3,171.37x = 6,284,264.54
  5. Step 5: Solve for x
    x = 6,284,264.54/3,171.37
  6. Step 6: Final answer
    x = 1,981.56

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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.