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Finding the Fourth Proportional to 2,612.46, 3,918.69 and 2,204.22

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Solution

The fourth proportional to 2,612.46, 3,918.69 and 2,204.22 is: 3,306.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.46 : 3,918.69 = 2,204.22 : x
  2. Step 2: Convert to fraction form
    2,612.46/3,918.69 = 2,204.22/x
  3. Step 3: Cross multiply
    2,612.46x = 3,918.69 × 2,204.22
  4. Step 4: Simplify right side
    2,612.46x = 8,637,654.87
  5. Step 5: Solve for x
    x = 8,637,654.87/2,612.46
  6. Step 6: Final answer
    x = 3,306.33

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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.