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Finding the Fourth Proportional to 2,725.57, 4,089.98 and 1,427.14

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Solution

The fourth proportional to 2,725.57, 4,089.98 and 1,427.14 is: 2,141.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.57 : 4,089.98 = 1,427.14 : x
  2. Step 2: Convert to fraction form
    2,725.57/4,089.98 = 1,427.14/x
  3. Step 3: Cross multiply
    2,725.57x = 4,089.98 × 1,427.14
  4. Step 4: Simplify right side
    2,725.57x = 5,836,974.06
  5. Step 5: Solve for x
    x = 5,836,974.06/2,725.57
  6. Step 6: Final answer
    x = 2,141.56

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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.