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Finding the Fourth Proportional to 2,998.32, 4,499.01 and 2,022.38

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Solution

The fourth proportional to 2,998.32, 4,499.01 and 2,022.38 is: 3,034.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.32 : 4,499.01 = 2,022.38 : x
  2. Step 2: Convert to fraction form
    2,998.32/4,499.01 = 2,022.38/x
  3. Step 3: Cross multiply
    2,998.32x = 4,499.01 × 2,022.38
  4. Step 4: Simplify right side
    2,998.32x = 9,098,685.35
  5. Step 5: Solve for x
    x = 9,098,685.35/2,998.32
  6. Step 6: Final answer
    x = 3,034.59

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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.