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Finding the Fourth Proportional to 2,984.49, 4,476.39 and 793.38

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Solution

The fourth proportional to 2,984.49, 4,476.39 and 793.38 is: 1,189.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.49 : 4,476.39 = 793.38 : x
  2. Step 2: Convert to fraction form
    2,984.49/4,476.39 = 793.38/x
  3. Step 3: Cross multiply
    2,984.49x = 4,476.39 × 793.38
  4. Step 4: Simplify right side
    2,984.49x = 3,551,478.30
  5. Step 5: Solve for x
    x = 3,551,478.30/2,984.49
  6. Step 6: Final answer
    x = 1,189.98

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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.