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Finding the Fourth Proportional to 1,238.39, 1,846.68 and 1,227.29

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Solution

The fourth proportional to 1,238.39, 1,846.68 and 1,227.29 is: 1,830.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.39 : 1,846.68 = 1,227.29 : x
  2. Step 2: Convert to fraction form
    1,238.39/1,846.68 = 1,227.29/x
  3. Step 3: Cross multiply
    1,238.39x = 1,846.68 × 1,227.29
  4. Step 4: Simplify right side
    1,238.39x = 2,266,408.45
  5. Step 5: Solve for x
    x = 2,266,408.45/1,238.39
  6. Step 6: Final answer
    x = 1,830.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.