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Finding the Fourth Proportional to 2,732.55, 4,099.18 and 883.21

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Solution

The fourth proportional to 2,732.55, 4,099.18 and 883.21 is: 1,324.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.55 : 4,099.18 = 883.21 : x
  2. Step 2: Convert to fraction form
    2,732.55/4,099.18 = 883.21/x
  3. Step 3: Cross multiply
    2,732.55x = 4,099.18 × 883.21
  4. Step 4: Simplify right side
    2,732.55x = 3,620,436.77
  5. Step 5: Solve for x
    x = 3,620,436.77/2,732.55
  6. Step 6: Final answer
    x = 1,324.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.