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Finding the Fourth Proportional to 2,766.35, 3,804.49 and 2,200.16

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Solution

The fourth proportional to 2,766.35, 3,804.49 and 2,200.16 is: 3,025.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.35 : 3,804.49 = 2,200.16 : x
  2. Step 2: Convert to fraction form
    2,766.35/3,804.49 = 2,200.16/x
  3. Step 3: Cross multiply
    2,766.35x = 3,804.49 × 2,200.16
  4. Step 4: Simplify right side
    2,766.35x = 8,370,475.72
  5. Step 5: Solve for x
    x = 8,370,475.72/2,766.35
  6. Step 6: Final answer
    x = 3,025.82

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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.