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Finding the Fourth Proportional to 2,442.15, 3,663.43 and 882.09

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Solution

The fourth proportional to 2,442.15, 3,663.43 and 882.09 is: 1,323.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.15 : 3,663.43 = 882.09 : x
  2. Step 2: Convert to fraction form
    2,442.15/3,663.43 = 882.09/x
  3. Step 3: Cross multiply
    2,442.15x = 3,663.43 × 882.09
  4. Step 4: Simplify right side
    2,442.15x = 3,231,472.76
  5. Step 5: Solve for x
    x = 3,231,472.76/2,442.15
  6. Step 6: Final answer
    x = 1,323.21

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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.