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Finding the Fourth Proportional to 1,998.06, 2,994.30 and 1,022.10

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Solution

The fourth proportional to 1,998.06, 2,994.30 and 1,022.10 is: 1,531.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.06 : 2,994.30 = 1,022.10 : x
  2. Step 2: Convert to fraction form
    1,998.06/2,994.30 = 1,022.10/x
  3. Step 3: Cross multiply
    1,998.06x = 2,994.30 × 1,022.10
  4. Step 4: Simplify right side
    1,998.06x = 3,060,474.03
  5. Step 5: Solve for x
    x = 3,060,474.03/1,998.06
  6. Step 6: Final answer
    x = 1,531.72

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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.