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Finding the Fourth Proportional to 2,203.48, 3,302.89 and 796.96

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Solution

The fourth proportional to 2,203.48, 3,302.89 and 796.96 is: 1,194.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.48 : 3,302.89 = 796.96 : x
  2. Step 2: Convert to fraction form
    2,203.48/3,302.89 = 796.96/x
  3. Step 3: Cross multiply
    2,203.48x = 3,302.89 × 796.96
  4. Step 4: Simplify right side
    2,203.48x = 2,632,271.21
  5. Step 5: Solve for x
    x = 2,632,271.21/2,203.48
  6. Step 6: Final answer
    x = 1,194.60

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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.