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Finding the Fourth Proportional to 2,517.44, 3,775.40 and 1,056.27

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Solution

The fourth proportional to 2,517.44, 3,775.40 and 1,056.27 is: 1,584.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.44 : 3,775.40 = 1,056.27 : x
  2. Step 2: Convert to fraction form
    2,517.44/3,775.40 = 1,056.27/x
  3. Step 3: Cross multiply
    2,517.44x = 3,775.40 × 1,056.27
  4. Step 4: Simplify right side
    2,517.44x = 3,987,841.76
  5. Step 5: Solve for x
    x = 3,987,841.76/2,517.44
  6. Step 6: Final answer
    x = 1,584.09

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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.