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Finding the Fourth Proportional to 1,576.23, 2,175.22 and 868.16

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Solution

The fourth proportional to 1,576.23, 2,175.22 and 868.16 is: 1,198.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.23 : 2,175.22 = 868.16 : x
  2. Step 2: Convert to fraction form
    1,576.23/2,175.22 = 868.16/x
  3. Step 3: Cross multiply
    1,576.23x = 2,175.22 × 868.16
  4. Step 4: Simplify right side
    1,576.23x = 1,888,425.95
  5. Step 5: Solve for x
    x = 1,888,425.95/1,576.23
  6. Step 6: Final answer
    x = 1,198.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.