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Finding the Fourth Proportional to 2,324.14, 3,485.90 and 863.09

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Solution

The fourth proportional to 2,324.14, 3,485.90 and 863.09 is: 1,294.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.14 : 3,485.90 = 863.09 : x
  2. Step 2: Convert to fraction form
    2,324.14/3,485.90 = 863.09/x
  3. Step 3: Cross multiply
    2,324.14x = 3,485.90 × 863.09
  4. Step 4: Simplify right side
    2,324.14x = 3,008,641.12
  5. Step 5: Solve for x
    x = 3,008,641.12/2,324.14
  6. Step 6: Final answer
    x = 1,294.52

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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.