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Finding the Fourth Proportional to 2,654.08, 3,978.95 and 1,172.26

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Solution

The fourth proportional to 2,654.08, 3,978.95 and 1,172.26 is: 1,757.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.08 : 3,978.95 = 1,172.26 : x
  2. Step 2: Convert to fraction form
    2,654.08/3,978.95 = 1,172.26/x
  3. Step 3: Cross multiply
    2,654.08x = 3,978.95 × 1,172.26
  4. Step 4: Simplify right side
    2,654.08x = 4,664,363.93
  5. Step 5: Solve for x
    x = 4,664,363.93/2,654.08
  6. Step 6: Final answer
    x = 1,757.43

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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.