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Finding the Fourth Proportional to 1,998.10, 2,991.77 and 1,303.05

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Solution

The fourth proportional to 1,998.10, 2,991.77 and 1,303.05 is: 1,951.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.10 : 2,991.77 = 1,303.05 : x
  2. Step 2: Convert to fraction form
    1,998.10/2,991.77 = 1,303.05/x
  3. Step 3: Cross multiply
    1,998.10x = 2,991.77 × 1,303.05
  4. Step 4: Simplify right side
    1,998.10x = 3,898,410.94
  5. Step 5: Solve for x
    x = 3,898,410.94/1,998.10
  6. Step 6: Final answer
    x = 1,951.06

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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.