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Finding the Fourth Proportional to 2,711, 3,741.18 and 1,469

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Solution

The fourth proportional to 2,711, 3,741.18 and 1,469 is: 2,027.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711 : 3,741.18 = 1,469 : x
  2. Step 2: Convert to fraction form
    2,711/3,741.18 = 1,469/x
  3. Step 3: Cross multiply
    2,711x = 3,741.18 × 1,469
  4. Step 4: Simplify right side
    2,711x = 5,495,793.42
  5. Step 5: Solve for x
    x = 5,495,793.42/2,711
  6. Step 6: Final answer
    x = 2,027.22

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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.