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Finding the Fourth Proportional to 2,266.84, 3,400.14 and 727.84

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Solution

The fourth proportional to 2,266.84, 3,400.14 and 727.84 is: 1,091.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.84 : 3,400.14 = 727.84 : x
  2. Step 2: Convert to fraction form
    2,266.84/3,400.14 = 727.84/x
  3. Step 3: Cross multiply
    2,266.84x = 3,400.14 × 727.84
  4. Step 4: Simplify right side
    2,266.84x = 2,474,757.90
  5. Step 5: Solve for x
    x = 2,474,757.90/2,266.84
  6. Step 6: Final answer
    x = 1,091.72

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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.