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Finding the Fourth Proportional to 1,449.24, 2,173.89 and 353.61

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Solution

The fourth proportional to 1,449.24, 2,173.89 and 353.61 is: 530.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.24 : 2,173.89 = 353.61 : x
  2. Step 2: Convert to fraction form
    1,449.24/2,173.89 = 353.61/x
  3. Step 3: Cross multiply
    1,449.24x = 2,173.89 × 353.61
  4. Step 4: Simplify right side
    1,449.24x = 768,709.24
  5. Step 5: Solve for x
    x = 768,709.24/1,449.24
  6. Step 6: Final answer
    x = 530.42

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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.