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Finding the Fourth Proportional to 1,998.93, 2,999.17 and 766.05

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Solution

The fourth proportional to 1,998.93, 2,999.17 and 766.05 is: 1,149.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.93 : 2,999.17 = 766.05 : x
  2. Step 2: Convert to fraction form
    1,998.93/2,999.17 = 766.05/x
  3. Step 3: Cross multiply
    1,998.93x = 2,999.17 × 766.05
  4. Step 4: Simplify right side
    1,998.93x = 2,297,523.51
  5. Step 5: Solve for x
    x = 2,297,523.51/1,998.93
  6. Step 6: Final answer
    x = 1,149.38

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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.