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Finding the Fourth Proportional to 2,196.31, 3,294.44 and 896.86

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Solution

The fourth proportional to 2,196.31, 3,294.44 and 896.86 is: 1,345.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.31 : 3,294.44 = 896.86 : x
  2. Step 2: Convert to fraction form
    2,196.31/3,294.44 = 896.86/x
  3. Step 3: Cross multiply
    2,196.31x = 3,294.44 × 896.86
  4. Step 4: Simplify right side
    2,196.31x = 2,954,646.97
  5. Step 5: Solve for x
    x = 2,954,646.97/2,196.31
  6. Step 6: Final answer
    x = 1,345.28

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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.