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Finding the Fourth Proportional to 2,278.53, 3,415.37 and 1,627.29

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Solution

The fourth proportional to 2,278.53, 3,415.37 and 1,627.29 is: 2,439.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.53 : 3,415.37 = 1,627.29 : x
  2. Step 2: Convert to fraction form
    2,278.53/3,415.37 = 1,627.29/x
  3. Step 3: Cross multiply
    2,278.53x = 3,415.37 × 1,627.29
  4. Step 4: Simplify right side
    2,278.53x = 5,557,789.31
  5. Step 5: Solve for x
    x = 5,557,789.31/2,278.53
  6. Step 6: Final answer
    x = 2,439.20

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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.