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Finding the Fourth Proportional to 2,033.18, 3,049.23 and 938.06

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Solution

The fourth proportional to 2,033.18, 3,049.23 and 938.06 is: 1,406.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.18 : 3,049.23 = 938.06 : x
  2. Step 2: Convert to fraction form
    2,033.18/3,049.23 = 938.06/x
  3. Step 3: Cross multiply
    2,033.18x = 3,049.23 × 938.06
  4. Step 4: Simplify right side
    2,033.18x = 2,860,360.69
  5. Step 5: Solve for x
    x = 2,860,360.69/2,033.18
  6. Step 6: Final answer
    x = 1,406.84

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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.