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Finding the Fourth Proportional to 2,711.32, 3,741.62 and 1,469.32

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Solution

The fourth proportional to 2,711.32, 3,741.62 and 1,469.32 is: 2,027.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.32 : 3,741.62 = 1,469.32 : x
  2. Step 2: Convert to fraction form
    2,711.32/3,741.62 = 1,469.32/x
  3. Step 3: Cross multiply
    2,711.32x = 3,741.62 × 1,469.32
  4. Step 4: Simplify right side
    2,711.32x = 5,497,611.04
  5. Step 5: Solve for x
    x = 5,497,611.04/2,711.32
  6. Step 6: Final answer
    x = 2,027.65

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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.