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Finding the Fourth Proportional to 3,170.30, 4,755.63 and 979.34

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Solution

The fourth proportional to 3,170.30, 4,755.63 and 979.34 is: 1,469.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.30 : 4,755.63 = 979.34 : x
  2. Step 2: Convert to fraction form
    3,170.30/4,755.63 = 979.34/x
  3. Step 3: Cross multiply
    3,170.30x = 4,755.63 × 979.34
  4. Step 4: Simplify right side
    3,170.30x = 4,657,378.68
  5. Step 5: Solve for x
    x = 4,657,378.68/3,170.30
  6. Step 6: Final answer
    x = 1,469.07

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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.