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Finding the Fourth Proportional to 1,226.36, 1,841.36 and 1,204.49

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Solution

The fourth proportional to 1,226.36, 1,841.36 and 1,204.49 is: 1,808.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.36 : 1,841.36 = 1,204.49 : x
  2. Step 2: Convert to fraction form
    1,226.36/1,841.36 = 1,204.49/x
  3. Step 3: Cross multiply
    1,226.36x = 1,841.36 × 1,204.49
  4. Step 4: Simplify right side
    1,226.36x = 2,217,884.48
  5. Step 5: Solve for x
    x = 2,217,884.48/1,226.36
  6. Step 6: Final answer
    x = 1,808.52

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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.