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Finding the Fourth Proportional to 2,387.44, 3,576.29 and 1,462.22

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Solution

The fourth proportional to 2,387.44, 3,576.29 and 1,462.22 is: 2,190.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.44 : 3,576.29 = 1,462.22 : x
  2. Step 2: Convert to fraction form
    2,387.44/3,576.29 = 1,462.22/x
  3. Step 3: Cross multiply
    2,387.44x = 3,576.29 × 1,462.22
  4. Step 4: Simplify right side
    2,387.44x = 5,229,297.57
  5. Step 5: Solve for x
    x = 5,229,297.57/2,387.44
  6. Step 6: Final answer
    x = 2,190.34

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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.