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Finding the Fourth Proportional to 1,449.42, 1,998.99 and 1,186.98

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Solution

The fourth proportional to 1,449.42, 1,998.99 and 1,186.98 is: 1,637.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.42 : 1,998.99 = 1,186.98 : x
  2. Step 2: Convert to fraction form
    1,449.42/1,998.99 = 1,186.98/x
  3. Step 3: Cross multiply
    1,449.42x = 1,998.99 × 1,186.98
  4. Step 4: Simplify right side
    1,449.42x = 2,372,761.15
  5. Step 5: Solve for x
    x = 2,372,761.15/1,449.42
  6. Step 6: Final answer
    x = 1,637.04

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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.