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Finding the Fourth Proportional to 2,728.55, 4,092.01 and 1,429.31

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Solution

The fourth proportional to 2,728.55, 4,092.01 and 1,429.31 is: 2,143.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.55 : 4,092.01 = 1,429.31 : x
  2. Step 2: Convert to fraction form
    2,728.55/4,092.01 = 1,429.31/x
  3. Step 3: Cross multiply
    2,728.55x = 4,092.01 × 1,429.31
  4. Step 4: Simplify right side
    2,728.55x = 5,848,750.81
  5. Step 5: Solve for x
    x = 5,848,750.81/2,728.55
  6. Step 6: Final answer
    x = 2,143.54

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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.