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Finding the Fourth Proportional to 2,732.17, 4,098.62 and 882.84

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Solution

The fourth proportional to 2,732.17, 4,098.62 and 882.84 is: 1,324.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.17 : 4,098.62 = 882.84 : x
  2. Step 2: Convert to fraction form
    2,732.17/4,098.62 = 882.84/x
  3. Step 3: Cross multiply
    2,732.17x = 4,098.62 × 882.84
  4. Step 4: Simplify right side
    2,732.17x = 3,618,415.24
  5. Step 5: Solve for x
    x = 3,618,415.24/2,732.17
  6. Step 6: Final answer
    x = 1,324.37

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