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Finding the Fourth Proportional to 2,662.83, 3,672.99 and 1,766.55

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Solution

The fourth proportional to 2,662.83, 3,672.99 and 1,766.55 is: 2,436.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.83 : 3,672.99 = 1,766.55 : x
  2. Step 2: Convert to fraction form
    2,662.83/3,672.99 = 1,766.55/x
  3. Step 3: Cross multiply
    2,662.83x = 3,672.99 × 1,766.55
  4. Step 4: Simplify right side
    2,662.83x = 6,488,520.48
  5. Step 5: Solve for x
    x = 6,488,520.48/2,662.83
  6. Step 6: Final answer
    x = 2,436.70

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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.