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Finding the Fourth Proportional to 3,171.34, 4,756 and 1,321.98

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Solution

The fourth proportional to 3,171.34, 4,756 and 1,321.98 is: 1,982.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.34 : 4,756 = 1,321.98 : x
  2. Step 2: Convert to fraction form
    3,171.34/4,756 = 1,321.98/x
  3. Step 3: Cross multiply
    3,171.34x = 4,756 × 1,321.98
  4. Step 4: Simplify right side
    3,171.34x = 6,287,336.88
  5. Step 5: Solve for x
    x = 6,287,336.88/3,171.34
  6. Step 6: Final answer
    x = 1,982.55

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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.