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Finding the Fourth Proportional to 1,224.12, 1,836.41 and 402.97

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Solution

The fourth proportional to 1,224.12, 1,836.41 and 402.97 is: 604.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.12 : 1,836.41 = 402.97 : x
  2. Step 2: Convert to fraction form
    1,224.12/1,836.41 = 402.97/x
  3. Step 3: Cross multiply
    1,224.12x = 1,836.41 × 402.97
  4. Step 4: Simplify right side
    1,224.12x = 740,018.14
  5. Step 5: Solve for x
    x = 740,018.14/1,224.12
  6. Step 6: Final answer
    x = 604.53

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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.