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Finding the Fourth Proportional to 2,204.16, 3,305.70 and 743.28

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Solution

The fourth proportional to 2,204.16, 3,305.70 and 743.28 is: 1,114.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.16 : 3,305.70 = 743.28 : x
  2. Step 2: Convert to fraction form
    2,204.16/3,305.70 = 743.28/x
  3. Step 3: Cross multiply
    2,204.16x = 3,305.70 × 743.28
  4. Step 4: Simplify right side
    2,204.16x = 2,457,060.70
  5. Step 5: Solve for x
    x = 2,457,060.70/2,204.16
  6. Step 6: Final answer
    x = 1,114.74

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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.