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Finding the Fourth Proportional to 1,227.08, 1,840.40 and 361.18

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Solution

The fourth proportional to 1,227.08, 1,840.40 and 361.18 is: 541.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.08 : 1,840.40 = 361.18 : x
  2. Step 2: Convert to fraction form
    1,227.08/1,840.40 = 361.18/x
  3. Step 3: Cross multiply
    1,227.08x = 1,840.40 × 361.18
  4. Step 4: Simplify right side
    1,227.08x = 664,715.67
  5. Step 5: Solve for x
    x = 664,715.67/1,227.08
  6. Step 6: Final answer
    x = 541.71

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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.