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Finding the Fourth Proportional to 3,166.83, 4,749.87 and 1,217.66

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Solution

The fourth proportional to 3,166.83, 4,749.87 and 1,217.66 is: 1,826.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.83 : 4,749.87 = 1,217.66 : x
  2. Step 2: Convert to fraction form
    3,166.83/4,749.87 = 1,217.66/x
  3. Step 3: Cross multiply
    3,166.83x = 4,749.87 × 1,217.66
  4. Step 4: Simplify right side
    3,166.83x = 5,783,702.95
  5. Step 5: Solve for x
    x = 5,783,702.95/3,166.83
  6. Step 6: Final answer
    x = 1,826.34

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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.