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Finding the Fourth Proportional to 2,204.02, 3,304.80 and 906.40

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Solution

The fourth proportional to 2,204.02, 3,304.80 and 906.40 is: 1,359.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.02 : 3,304.80 = 906.40 : x
  2. Step 2: Convert to fraction form
    2,204.02/3,304.80 = 906.40/x
  3. Step 3: Cross multiply
    2,204.02x = 3,304.80 × 906.40
  4. Step 4: Simplify right side
    2,204.02x = 2,995,470.72
  5. Step 5: Solve for x
    x = 2,995,470.72/2,204.02
  6. Step 6: Final answer
    x = 1,359.09

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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.