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Finding the Fourth Proportional to 1,449.28, 1,998.08 and 1,199.68

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Solution

The fourth proportional to 1,449.28, 1,998.08 and 1,199.68 is: 1,653.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.28 : 1,998.08 = 1,199.68 : x
  2. Step 2: Convert to fraction form
    1,449.28/1,998.08 = 1,199.68/x
  3. Step 3: Cross multiply
    1,449.28x = 1,998.08 × 1,199.68
  4. Step 4: Simplify right side
    1,449.28x = 2,397,056.61
  5. Step 5: Solve for x
    x = 2,397,056.61/1,449.28
  6. Step 6: Final answer
    x = 1,653.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.