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Finding the Fourth Proportional to 1,226.97, 1,840.81 and 361.28

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Solution

The fourth proportional to 1,226.97, 1,840.81 and 361.28 is: 542.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.97 : 1,840.81 = 361.28 : x
  2. Step 2: Convert to fraction form
    1,226.97/1,840.81 = 361.28/x
  3. Step 3: Cross multiply
    1,226.97x = 1,840.81 × 361.28
  4. Step 4: Simplify right side
    1,226.97x = 665,047.84
  5. Step 5: Solve for x
    x = 665,047.84/1,226.97
  6. Step 6: Final answer
    x = 542.02

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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.