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Finding the Fourth Proportional to 1,226.12, 1,839.12 and 301.64

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Solution

The fourth proportional to 1,226.12, 1,839.12 and 301.64 is: 452.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.12 : 1,839.12 = 301.64 : x
  2. Step 2: Convert to fraction form
    1,226.12/1,839.12 = 301.64/x
  3. Step 3: Cross multiply
    1,226.12x = 1,839.12 × 301.64
  4. Step 4: Simplify right side
    1,226.12x = 554,742.96
  5. Step 5: Solve for x
    x = 554,742.96/1,226.12
  6. Step 6: Final answer
    x = 452.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.