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Finding the Fourth Proportional to 2,171.34, 3,256.80 and 1,074.60

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Solution

The fourth proportional to 2,171.34, 3,256.80 and 1,074.60 is: 1,611.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.34 : 3,256.80 = 1,074.60 : x
  2. Step 2: Convert to fraction form
    2,171.34/3,256.80 = 1,074.60/x
  3. Step 3: Cross multiply
    2,171.34x = 3,256.80 × 1,074.60
  4. Step 4: Simplify right side
    2,171.34x = 3,499,757.28
  5. Step 5: Solve for x
    x = 3,499,757.28/2,171.34
  6. Step 6: Final answer
    x = 1,611.80

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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.