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Finding the Fourth Proportional to 2,560.68, 3,845.34 and 1,672.70

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Solution

The fourth proportional to 2,560.68, 3,845.34 and 1,672.70 is: 2,511.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.68 : 3,845.34 = 1,672.70 : x
  2. Step 2: Convert to fraction form
    2,560.68/3,845.34 = 1,672.70/x
  3. Step 3: Cross multiply
    2,560.68x = 3,845.34 × 1,672.70
  4. Step 4: Simplify right side
    2,560.68x = 6,432,080.99
  5. Step 5: Solve for x
    x = 6,432,080.99/2,560.68
  6. Step 6: Final answer
    x = 2,511.86

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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.