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Finding the Fourth Proportional to 1,592.93, 2,375.77 and 1,399.20

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Solution

The fourth proportional to 1,592.93, 2,375.77 and 1,399.20 is: 2,086.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.93 : 2,375.77 = 1,399.20 : x
  2. Step 2: Convert to fraction form
    1,592.93/2,375.77 = 1,399.20/x
  3. Step 3: Cross multiply
    1,592.93x = 2,375.77 × 1,399.20
  4. Step 4: Simplify right side
    1,592.93x = 3,324,177.38
  5. Step 5: Solve for x
    x = 3,324,177.38/1,592.93
  6. Step 6: Final answer
    x = 2,086.83

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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.