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Finding the Fourth Proportional to 3,166.24, 4,749.34 and 857.74

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Solution

The fourth proportional to 3,166.24, 4,749.34 and 857.74 is: 1,286.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.24 : 4,749.34 = 857.74 : x
  2. Step 2: Convert to fraction form
    3,166.24/4,749.34 = 857.74/x
  3. Step 3: Cross multiply
    3,166.24x = 4,749.34 × 857.74
  4. Step 4: Simplify right side
    3,166.24x = 4,073,698.89
  5. Step 5: Solve for x
    x = 4,073,698.89/3,166.24
  6. Step 6: Final answer
    x = 1,286.60

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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.