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Finding the Fourth Proportional to 2,762.41, 4,138.42 and 1,375.02

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Solution

The fourth proportional to 2,762.41, 4,138.42 and 1,375.02 is: 2,059.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.41 : 4,138.42 = 1,375.02 : x
  2. Step 2: Convert to fraction form
    2,762.41/4,138.42 = 1,375.02/x
  3. Step 3: Cross multiply
    2,762.41x = 4,138.42 × 1,375.02
  4. Step 4: Simplify right side
    2,762.41x = 5,690,410.27
  5. Step 5: Solve for x
    x = 5,690,410.27/2,762.41
  6. Step 6: Final answer
    x = 2,059.94

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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.