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Finding the Fourth Proportional to 2,560.13, 3,847.42 and 1,520.33

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Solution

The fourth proportional to 2,560.13, 3,847.42 and 1,520.33 is: 2,284.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.13 : 3,847.42 = 1,520.33 : x
  2. Step 2: Convert to fraction form
    2,560.13/3,847.42 = 1,520.33/x
  3. Step 3: Cross multiply
    2,560.13x = 3,847.42 × 1,520.33
  4. Step 4: Simplify right side
    2,560.13x = 5,849,348.05
  5. Step 5: Solve for x
    x = 5,849,348.05/2,560.13
  6. Step 6: Final answer
    x = 2,284.79

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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.