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Finding the Fourth Proportional to 2,984.39, 4,476.62 and 793.34

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Solution

The fourth proportional to 2,984.39, 4,476.62 and 793.34 is: 1,190.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.39 : 4,476.62 = 793.34 : x
  2. Step 2: Convert to fraction form
    2,984.39/4,476.62 = 793.34/x
  3. Step 3: Cross multiply
    2,984.39x = 4,476.62 × 793.34
  4. Step 4: Simplify right side
    2,984.39x = 3,551,481.71
  5. Step 5: Solve for x
    x = 3,551,481.71/2,984.39
  6. Step 6: Final answer
    x = 1,190.02

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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.