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Finding the Fourth Proportional to 2,254.56, 3,375 and 1,759.92

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Solution

The fourth proportional to 2,254.56, 3,375 and 1,759.92 is: 2,634.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.56 : 3,375 = 1,759.92 : x
  2. Step 2: Convert to fraction form
    2,254.56/3,375 = 1,759.92/x
  3. Step 3: Cross multiply
    2,254.56x = 3,375 × 1,759.92
  4. Step 4: Simplify right side
    2,254.56x = 5,939,730
  5. Step 5: Solve for x
    x = 5,939,730/2,254.56
  6. Step 6: Final answer
    x = 2,634.54

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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.