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Finding the Fourth Proportional to 3,166.20, 4,749.30 and 857.70

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Solution

The fourth proportional to 3,166.20, 4,749.30 and 857.70 is: 1,286.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.20 : 4,749.30 = 857.70 : x
  2. Step 2: Convert to fraction form
    3,166.20/4,749.30 = 857.70/x
  3. Step 3: Cross multiply
    3,166.20x = 4,749.30 × 857.70
  4. Step 4: Simplify right side
    3,166.20x = 4,073,474.61
  5. Step 5: Solve for x
    x = 4,073,474.61/3,166.20
  6. Step 6: Final answer
    x = 1,286.55

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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.