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Finding the Fourth Proportional to 1,760.22, 2,638.17 and 1,544.22

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Solution

The fourth proportional to 1,760.22, 2,638.17 and 1,544.22 is: 2,314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.22 : 2,638.17 = 1,544.22 : x
  2. Step 2: Convert to fraction form
    1,760.22/2,638.17 = 1,544.22/x
  3. Step 3: Cross multiply
    1,760.22x = 2,638.17 × 1,544.22
  4. Step 4: Simplify right side
    1,760.22x = 4,073,914.88
  5. Step 5: Solve for x
    x = 4,073,914.88/1,760.22
  6. Step 6: Final answer
    x = 2,314.44

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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.