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Finding the Fourth Proportional to 2,200.96, 3,300.16 and 832.64

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Solution

The fourth proportional to 2,200.96, 3,300.16 and 832.64 is: 1,248.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.96 : 3,300.16 = 832.64 : x
  2. Step 2: Convert to fraction form
    2,200.96/3,300.16 = 832.64/x
  3. Step 3: Cross multiply
    2,200.96x = 3,300.16 × 832.64
  4. Step 4: Simplify right side
    2,200.96x = 2,747,845.22
  5. Step 5: Solve for x
    x = 2,747,845.22/2,200.96
  6. Step 6: Final answer
    x = 1,248.48

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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.