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Finding the Fourth Proportional to 3,266.87, 4,900.30 and 1,076.22

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Solution

The fourth proportional to 3,266.87, 4,900.30 and 1,076.22 is: 1,614.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.87 : 4,900.30 = 1,076.22 : x
  2. Step 2: Convert to fraction form
    3,266.87/4,900.30 = 1,076.22/x
  3. Step 3: Cross multiply
    3,266.87x = 4,900.30 × 1,076.22
  4. Step 4: Simplify right side
    3,266.87x = 5,273,798.18
  5. Step 5: Solve for x
    x = 5,273,798.18/3,266.87
  6. Step 6: Final answer
    x = 1,614.33

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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.