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Finding the Fourth Proportional to 3,450.40, 5,174.48 and 1,990.24

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Solution

The fourth proportional to 3,450.40, 5,174.48 and 1,990.24 is: 2,984.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.40 : 5,174.48 = 1,990.24 : x
  2. Step 2: Convert to fraction form
    3,450.40/5,174.48 = 1,990.24/x
  3. Step 3: Cross multiply
    3,450.40x = 5,174.48 × 1,990.24
  4. Step 4: Simplify right side
    3,450.40x = 10,298,457.08
  5. Step 5: Solve for x
    x = 10,298,457.08/3,450.40
  6. Step 6: Final answer
    x = 2,984.71

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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.