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Finding the Fourth Proportional to 2,892.14, 4,324.44 and 2,233.34

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Solution

The fourth proportional to 2,892.14, 4,324.44 and 2,233.34 is: 3,339.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.14 : 4,324.44 = 2,233.34 : x
  2. Step 2: Convert to fraction form
    2,892.14/4,324.44 = 2,233.34/x
  3. Step 3: Cross multiply
    2,892.14x = 4,324.44 × 2,233.34
  4. Step 4: Simplify right side
    2,892.14x = 9,657,944.83
  5. Step 5: Solve for x
    x = 9,657,944.83/2,892.14
  6. Step 6: Final answer
    x = 3,339.38

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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.