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Finding the Fourth Proportional to 2,196.89, 3,293.49 and 1,026.28

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Solution

The fourth proportional to 2,196.89, 3,293.49 and 1,026.28 is: 1,538.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.89 : 3,293.49 = 1,026.28 : x
  2. Step 2: Convert to fraction form
    2,196.89/3,293.49 = 1,026.28/x
  3. Step 3: Cross multiply
    2,196.89x = 3,293.49 × 1,026.28
  4. Step 4: Simplify right side
    2,196.89x = 3,380,042.92
  5. Step 5: Solve for x
    x = 3,380,042.92/2,196.89
  6. Step 6: Final answer
    x = 1,538.56

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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.