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Finding the Fourth Proportional to 1,576.87, 2,176.06 and 868.69

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Solution

The fourth proportional to 1,576.87, 2,176.06 and 868.69 is: 1,198.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.87 : 2,176.06 = 868.69 : x
  2. Step 2: Convert to fraction form
    1,576.87/2,176.06 = 868.69/x
  3. Step 3: Cross multiply
    1,576.87x = 2,176.06 × 868.69
  4. Step 4: Simplify right side
    1,576.87x = 1,890,321.56
  5. Step 5: Solve for x
    x = 1,890,321.56/1,576.87
  6. Step 6: Final answer
    x = 1,198.78

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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.