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Finding the Fourth Proportional to 2,722.62, 3,757.14 and 1,588.23

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Solution

The fourth proportional to 2,722.62, 3,757.14 and 1,588.23 is: 2,191.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.62 : 3,757.14 = 1,588.23 : x
  2. Step 2: Convert to fraction form
    2,722.62/3,757.14 = 1,588.23/x
  3. Step 3: Cross multiply
    2,722.62x = 3,757.14 × 1,588.23
  4. Step 4: Simplify right side
    2,722.62x = 5,967,202.46
  5. Step 5: Solve for x
    x = 5,967,202.46/2,722.62
  6. Step 6: Final answer
    x = 2,191.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.