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Finding the Fourth Proportional to 3,171.85, 4,756.75 and 1,322.48

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Solution

The fourth proportional to 3,171.85, 4,756.75 and 1,322.48 is: 1,983.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.85 : 4,756.75 = 1,322.48 : x
  2. Step 2: Convert to fraction form
    3,171.85/4,756.75 = 1,322.48/x
  3. Step 3: Cross multiply
    3,171.85x = 4,756.75 × 1,322.48
  4. Step 4: Simplify right side
    3,171.85x = 6,290,715.33
  5. Step 5: Solve for x
    x = 6,290,715.33/3,171.85
  6. Step 6: Final answer
    x = 1,983.30

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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.