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Finding the Fourth Proportional to 3,077.66, 4,236.46 and 2,684.00

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Solution

The fourth proportional to 3,077.66, 4,236.46 and 2,684.00 is: 3,694.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.66 : 4,236.46 = 2,684.00 : x
  2. Step 2: Convert to fraction form
    3,077.66/4,236.46 = 2,684.00/x
  3. Step 3: Cross multiply
    3,077.66x = 4,236.46 × 2,684.00
  4. Step 4: Simplify right side
    3,077.66x = 11,370,662.52
  5. Step 5: Solve for x
    x = 11,370,662.52/3,077.66
  6. Step 6: Final answer
    x = 3,694.58

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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.