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Finding the Fourth Proportional to 2,842.56, 4,265.67 and 1,380.92

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Solution

The fourth proportional to 2,842.56, 4,265.67 and 1,380.92 is: 2,072.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.56 : 4,265.67 = 1,380.92 : x
  2. Step 2: Convert to fraction form
    2,842.56/4,265.67 = 1,380.92/x
  3. Step 3: Cross multiply
    2,842.56x = 4,265.67 × 1,380.92
  4. Step 4: Simplify right side
    2,842.56x = 5,890,549.02
  5. Step 5: Solve for x
    x = 5,890,549.02/2,842.56
  6. Step 6: Final answer
    x = 2,072.27

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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.