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Finding the Fourth Proportional to 2,654.36, 3,981 and 2,522.63

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Solution

The fourth proportional to 2,654.36, 3,981 and 2,522.63 is: 3,783.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.36 : 3,981 = 2,522.63 : x
  2. Step 2: Convert to fraction form
    2,654.36/3,981 = 2,522.63/x
  3. Step 3: Cross multiply
    2,654.36x = 3,981 × 2,522.63
  4. Step 4: Simplify right side
    2,654.36x = 10,042,570.13
  5. Step 5: Solve for x
    x = 10,042,570.13/2,654.36
  6. Step 6: Final answer
    x = 3,783.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.