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Finding the Fourth Proportional to 3,166.75, 4,366.56 and 2,046.21

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Solution

The fourth proportional to 3,166.75, 4,366.56 and 2,046.21 is: 2,821.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.75 : 4,366.56 = 2,046.21 : x
  2. Step 2: Convert to fraction form
    3,166.75/4,366.56 = 2,046.21/x
  3. Step 3: Cross multiply
    3,166.75x = 4,366.56 × 2,046.21
  4. Step 4: Simplify right side
    3,166.75x = 8,934,898.74
  5. Step 5: Solve for x
    x = 8,934,898.74/3,166.75
  6. Step 6: Final answer
    x = 2,821.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.