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Finding the Fourth Proportional to 2,732.49, 4,097.82 and 883.11

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Solution

The fourth proportional to 2,732.49, 4,097.82 and 883.11 is: 1,324.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.49 : 4,097.82 = 883.11 : x
  2. Step 2: Convert to fraction form
    2,732.49/4,097.82 = 883.11/x
  3. Step 3: Cross multiply
    2,732.49x = 4,097.82 × 883.11
  4. Step 4: Simplify right side
    2,732.49x = 3,618,821.45
  5. Step 5: Solve for x
    x = 3,618,821.45/2,732.49
  6. Step 6: Final answer
    x = 1,324.37

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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.