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Finding the Fourth Proportional to 2,255.30, 3,380.64 and 1,524.96

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Solution

The fourth proportional to 2,255.30, 3,380.64 and 1,524.96 is: 2,285.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.30 : 3,380.64 = 1,524.96 : x
  2. Step 2: Convert to fraction form
    2,255.30/3,380.64 = 1,524.96/x
  3. Step 3: Cross multiply
    2,255.30x = 3,380.64 × 1,524.96
  4. Step 4: Simplify right side
    2,255.30x = 5,155,340.77
  5. Step 5: Solve for x
    x = 5,155,340.77/2,255.30
  6. Step 6: Final answer
    x = 2,285.88

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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.