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Finding the Fourth Proportional to 2,654.49, 3,981.22 and 2,522.78

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Solution

The fourth proportional to 2,654.49, 3,981.22 and 2,522.78 is: 3,783.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.49 : 3,981.22 = 2,522.78 : x
  2. Step 2: Convert to fraction form
    2,654.49/3,981.22 = 2,522.78/x
  3. Step 3: Cross multiply
    2,654.49x = 3,981.22 × 2,522.78
  4. Step 4: Simplify right side
    2,654.49x = 10,043,752.14
  5. Step 5: Solve for x
    x = 10,043,752.14/2,654.49
  6. Step 6: Final answer
    x = 3,783.68

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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.