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Finding the Fourth Proportional to 1,636.34, 2,451.27 and 1,576.22

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Solution

The fourth proportional to 1,636.34, 2,451.27 and 1,576.22 is: 2,361.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.34 : 2,451.27 = 1,576.22 : x
  2. Step 2: Convert to fraction form
    1,636.34/2,451.27 = 1,576.22/x
  3. Step 3: Cross multiply
    1,636.34x = 2,451.27 × 1,576.22
  4. Step 4: Simplify right side
    1,636.34x = 3,863,740.80
  5. Step 5: Solve for x
    x = 3,863,740.80/1,636.34
  6. Step 6: Final answer
    x = 2,361.21

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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.