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Finding the Fourth Proportional to 2,204.82, 3,302.16 and 1,228.76

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Solution

The fourth proportional to 2,204.82, 3,302.16 and 1,228.76 is: 1,840.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.82 : 3,302.16 = 1,228.76 : x
  2. Step 2: Convert to fraction form
    2,204.82/3,302.16 = 1,228.76/x
  3. Step 3: Cross multiply
    2,204.82x = 3,302.16 × 1,228.76
  4. Step 4: Simplify right side
    2,204.82x = 4,057,562.12
  5. Step 5: Solve for x
    x = 4,057,562.12/2,204.82
  6. Step 6: Final answer
    x = 1,840.31

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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.