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Finding the Fourth Proportional to 2,380.54, 3,561.48 and 2,103.52

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Solution

The fourth proportional to 2,380.54, 3,561.48 and 2,103.52 is: 3,147.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.54 : 3,561.48 = 2,103.52 : x
  2. Step 2: Convert to fraction form
    2,380.54/3,561.48 = 2,103.52/x
  3. Step 3: Cross multiply
    2,380.54x = 3,561.48 × 2,103.52
  4. Step 4: Simplify right side
    2,380.54x = 7,491,644.41
  5. Step 5: Solve for x
    x = 7,491,644.41/2,380.54
  6. Step 6: Final answer
    x = 3,147.04

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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.