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Finding the Fourth Proportional to 2,702, 3,729.12 and 1,771.04

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Solution

The fourth proportional to 2,702, 3,729.12 and 1,771.04 is: 2,444.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702 : 3,729.12 = 1,771.04 : x
  2. Step 2: Convert to fraction form
    2,702/3,729.12 = 1,771.04/x
  3. Step 3: Cross multiply
    2,702x = 3,729.12 × 1,771.04
  4. Step 4: Simplify right side
    2,702x = 6,604,420.68
  5. Step 5: Solve for x
    x = 6,604,420.68/2,702
  6. Step 6: Final answer
    x = 2,444.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.