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Finding the Fourth Proportional to 1,232.82, 1,848.89 and 367.11

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Solution

The fourth proportional to 1,232.82, 1,848.89 and 367.11 is: 550.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.82 : 1,848.89 = 367.11 : x
  2. Step 2: Convert to fraction form
    1,232.82/1,848.89 = 367.11/x
  3. Step 3: Cross multiply
    1,232.82x = 1,848.89 × 367.11
  4. Step 4: Simplify right side
    1,232.82x = 678,734.93
  5. Step 5: Solve for x
    x = 678,734.93/1,232.82
  6. Step 6: Final answer
    x = 550.56

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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.