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Finding the Fourth Proportional to 2,196.52, 3,296.22 and 1,042.36

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Solution

The fourth proportional to 2,196.52, 3,296.22 and 1,042.36 is: 1,564.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.52 : 3,296.22 = 1,042.36 : x
  2. Step 2: Convert to fraction form
    2,196.52/3,296.22 = 1,042.36/x
  3. Step 3: Cross multiply
    2,196.52x = 3,296.22 × 1,042.36
  4. Step 4: Simplify right side
    2,196.52x = 3,435,847.88
  5. Step 5: Solve for x
    x = 3,435,847.88/2,196.52
  6. Step 6: Final answer
    x = 1,564.22

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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.