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Finding the Fourth Proportional to 2,327.68, 3,487.44 and 1,229.44

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Solution

The fourth proportional to 2,327.68, 3,487.44 and 1,229.44 is: 1,842.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.68 : 3,487.44 = 1,229.44 : x
  2. Step 2: Convert to fraction form
    2,327.68/3,487.44 = 1,229.44/x
  3. Step 3: Cross multiply
    2,327.68x = 3,487.44 × 1,229.44
  4. Step 4: Simplify right side
    2,327.68x = 4,287,598.23
  5. Step 5: Solve for x
    x = 4,287,598.23/2,327.68
  6. Step 6: Final answer
    x = 1,842.01

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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.