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Finding the Fourth Proportional to 2,327.82, 3,492.09 and 1,449.65

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Solution

The fourth proportional to 2,327.82, 3,492.09 and 1,449.65 is: 2,174.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.82 : 3,492.09 = 1,449.65 : x
  2. Step 2: Convert to fraction form
    2,327.82/3,492.09 = 1,449.65/x
  3. Step 3: Cross multiply
    2,327.82x = 3,492.09 × 1,449.65
  4. Step 4: Simplify right side
    2,327.82x = 5,062,308.27
  5. Step 5: Solve for x
    x = 5,062,308.27/2,327.82
  6. Step 6: Final answer
    x = 2,174.70

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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.