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Finding the Fourth Proportional to 2,442.73, 3,664.11 and 882.94

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Solution

The fourth proportional to 2,442.73, 3,664.11 and 882.94 is: 1,324.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.73 : 3,664.11 = 882.94 : x
  2. Step 2: Convert to fraction form
    2,442.73/3,664.11 = 882.94/x
  3. Step 3: Cross multiply
    2,442.73x = 3,664.11 × 882.94
  4. Step 4: Simplify right side
    2,442.73x = 3,235,189.28
  5. Step 5: Solve for x
    x = 3,235,189.28/2,442.73
  6. Step 6: Final answer
    x = 1,324.42

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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.