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Finding the Fourth Proportional to 2,305.20, 3,452.76 and 2,254.47

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Solution

The fourth proportional to 2,305.20, 3,452.76 and 2,254.47 is: 3,376.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.20 : 3,452.76 = 2,254.47 : x
  2. Step 2: Convert to fraction form
    2,305.20/3,452.76 = 2,254.47/x
  3. Step 3: Cross multiply
    2,305.20x = 3,452.76 × 2,254.47
  4. Step 4: Simplify right side
    2,305.20x = 7,784,143.84
  5. Step 5: Solve for x
    x = 7,784,143.84/2,305.20
  6. Step 6: Final answer
    x = 3,376.78

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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.