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Finding the Fourth Proportional to 2,560.83, 3,843.87 and 1,589.23

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Solution

The fourth proportional to 2,560.83, 3,843.87 and 1,589.23 is: 2,385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.83 : 3,843.87 = 1,589.23 : x
  2. Step 2: Convert to fraction form
    2,560.83/3,843.87 = 1,589.23/x
  3. Step 3: Cross multiply
    2,560.83x = 3,843.87 × 1,589.23
  4. Step 4: Simplify right side
    2,560.83x = 6,108,793.52
  5. Step 5: Solve for x
    x = 6,108,793.52/2,560.83
  6. Step 6: Final answer
    x = 2,385.47

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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.