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Finding the Fourth Proportional to 2,560.96, 3,825.20 and 2,274.24

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Solution

The fourth proportional to 2,560.96, 3,825.20 and 2,274.24 is: 3,396.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.96 : 3,825.20 = 2,274.24 : x
  2. Step 2: Convert to fraction form
    2,560.96/3,825.20 = 2,274.24/x
  3. Step 3: Cross multiply
    2,560.96x = 3,825.20 × 2,274.24
  4. Step 4: Simplify right side
    2,560.96x = 8,699,422.85
  5. Step 5: Solve for x
    x = 8,699,422.85/2,560.96
  6. Step 6: Final answer
    x = 3,396.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.