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Finding the Fourth Proportional to 2,172.88, 3,239.96 and 2,134

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Solution

The fourth proportional to 2,172.88, 3,239.96 and 2,134 is: 3,181.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.88 : 3,239.96 = 2,134 : x
  2. Step 2: Convert to fraction form
    2,172.88/3,239.96 = 2,134/x
  3. Step 3: Cross multiply
    2,172.88x = 3,239.96 × 2,134
  4. Step 4: Simplify right side
    2,172.88x = 6,914,074.64
  5. Step 5: Solve for x
    x = 6,914,074.64/2,172.88
  6. Step 6: Final answer
    x = 3,181.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.