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Finding the Fourth Proportional to 1,576.83, 2,176.17 and 868.79

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Solution

The fourth proportional to 1,576.83, 2,176.17 and 868.79 is: 1,199.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.83 : 2,176.17 = 868.79 : x
  2. Step 2: Convert to fraction form
    1,576.83/2,176.17 = 868.79/x
  3. Step 3: Cross multiply
    1,576.83x = 2,176.17 × 868.79
  4. Step 4: Simplify right side
    1,576.83x = 1,890,636.92
  5. Step 5: Solve for x
    x = 1,890,636.92/1,576.83
  6. Step 6: Final answer
    x = 1,199.01

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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.