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Finding the Fourth Proportional to 1,219.29, 1,827.85 and 449.61

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Solution

The fourth proportional to 1,219.29, 1,827.85 and 449.61 is: 674.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.29 : 1,827.85 = 449.61 : x
  2. Step 2: Convert to fraction form
    1,219.29/1,827.85 = 449.61/x
  3. Step 3: Cross multiply
    1,219.29x = 1,827.85 × 449.61
  4. Step 4: Simplify right side
    1,219.29x = 821,819.64
  5. Step 5: Solve for x
    x = 821,819.64/1,219.29
  6. Step 6: Final answer
    x = 674.01

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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.