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Finding the Fourth Proportional to 1,576.94, 2,176.16 and 868.82

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Solution

The fourth proportional to 1,576.94, 2,176.16 and 868.82 is: 1,198.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.94 : 2,176.16 = 868.82 : x
  2. Step 2: Convert to fraction form
    1,576.94/2,176.16 = 868.82/x
  3. Step 3: Cross multiply
    1,576.94x = 2,176.16 × 868.82
  4. Step 4: Simplify right side
    1,576.94x = 1,890,691.33
  5. Step 5: Solve for x
    x = 1,890,691.33/1,576.94
  6. Step 6: Final answer
    x = 1,198.96

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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.