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Finding the Fourth Proportional to 2,196.80, 3,295.20 and 736.10

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Solution

The fourth proportional to 2,196.80, 3,295.20 and 736.10 is: 1,104.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.80 : 3,295.20 = 736.10 : x
  2. Step 2: Convert to fraction form
    2,196.80/3,295.20 = 736.10/x
  3. Step 3: Cross multiply
    2,196.80x = 3,295.20 × 736.10
  4. Step 4: Simplify right side
    2,196.80x = 2,425,596.72
  5. Step 5: Solve for x
    x = 2,425,596.72/2,196.80
  6. Step 6: Final answer
    x = 1,104.15

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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.