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Finding the Fourth Proportional to 2,266.26, 3,395.70 and 804.66

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Solution

The fourth proportional to 2,266.26, 3,395.70 and 804.66 is: 1,205.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.26 : 3,395.70 = 804.66 : x
  2. Step 2: Convert to fraction form
    2,266.26/3,395.70 = 804.66/x
  3. Step 3: Cross multiply
    2,266.26x = 3,395.70 × 804.66
  4. Step 4: Simplify right side
    2,266.26x = 2,732,383.96
  5. Step 5: Solve for x
    x = 2,732,383.96/2,266.26
  6. Step 6: Final answer
    x = 1,205.68

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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.