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Finding the Fourth Proportional to 2,204.61, 3,304.30 and 969.43

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Solution

The fourth proportional to 2,204.61, 3,304.30 and 969.43 is: 1,453.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.61 : 3,304.30 = 969.43 : x
  2. Step 2: Convert to fraction form
    2,204.61/3,304.30 = 969.43/x
  3. Step 3: Cross multiply
    2,204.61x = 3,304.30 × 969.43
  4. Step 4: Simplify right side
    2,204.61x = 3,203,287.55
  5. Step 5: Solve for x
    x = 3,203,287.55/2,204.61
  6. Step 6: Final answer
    x = 1,453.00

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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.