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Finding the Fourth Proportional to 3,204.30, 4,781.90 and 2,469.90

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Solution

The fourth proportional to 3,204.30, 4,781.90 and 2,469.90 is: 3,685.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.30 : 4,781.90 = 2,469.90 : x
  2. Step 2: Convert to fraction form
    3,204.30/4,781.90 = 2,469.90/x
  3. Step 3: Cross multiply
    3,204.30x = 4,781.90 × 2,469.90
  4. Step 4: Simplify right side
    3,204.30x = 11,810,802.46
  5. Step 5: Solve for x
    x = 11,810,802.46/3,204.30
  6. Step 6: Final answer
    x = 3,685.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.