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Finding the Fourth Proportional to 2,171.34, 3,257.03 and 1,741.23

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Solution

The fourth proportional to 2,171.34, 3,257.03 and 1,741.23 is: 2,611.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.34 : 3,257.03 = 1,741.23 : x
  2. Step 2: Convert to fraction form
    2,171.34/3,257.03 = 1,741.23/x
  3. Step 3: Cross multiply
    2,171.34x = 3,257.03 × 1,741.23
  4. Step 4: Simplify right side
    2,171.34x = 5,671,238.35
  5. Step 5: Solve for x
    x = 5,671,238.35/2,171.34
  6. Step 6: Final answer
    x = 2,611.86

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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.