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Finding the Fourth Proportional to 2,266.84, 3,399.60 and 950.55

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Solution

The fourth proportional to 2,266.84, 3,399.60 and 950.55 is: 1,425.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.84 : 3,399.60 = 950.55 : x
  2. Step 2: Convert to fraction form
    2,266.84/3,399.60 = 950.55/x
  3. Step 3: Cross multiply
    2,266.84x = 3,399.60 × 950.55
  4. Step 4: Simplify right side
    2,266.84x = 3,231,498.87
  5. Step 5: Solve for x
    x = 3,231,498.87/2,266.84
  6. Step 6: Final answer
    x = 1,425.56

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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.