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Finding the Fourth Proportional to 2,725.62, 4,088.81 and 1,082.33

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Solution

The fourth proportional to 2,725.62, 4,088.81 and 1,082.33 is: 1,623.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.62 : 4,088.81 = 1,082.33 : x
  2. Step 2: Convert to fraction form
    2,725.62/4,088.81 = 1,082.33/x
  3. Step 3: Cross multiply
    2,725.62x = 4,088.81 × 1,082.33
  4. Step 4: Simplify right side
    2,725.62x = 4,425,441.73
  5. Step 5: Solve for x
    x = 4,425,441.73/2,725.62
  6. Step 6: Final answer
    x = 1,623.65

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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.